Finding the Third Proportional to 380,669,083,474.50 and 575,907,563,469.38

Step by Step Solution

1. Step 1: Write the proportion equation
   380,669,083,474.50 : 575,907,563,469.38 = 575,907,563,469.38 : x
2. Step 2: Convert to fraction form
   380,669,083,474.50/575,907,563,469.38 = 575,907,563,469.38/x
3. Step 3: Cross multiply
   380,669,083,474.50x = 575,907,563,469.38 × 575,907,563,469.38
4. Step 4: Simplify right side
   380,669,083,474.50x = 331,669,521,661,237,978,464,256
5. Step 5: Solve for x
   x = 331,669,521,661,237,978,464,256/380,669,083,474.50
6. Step 6: Final answer
   x = 871,280,427,173.06