Finding the Third Proportional to 380,669,083,465 and 575,907,563,456

Step by Step Solution

1. Step 1: Write the proportion equation
   380,669,083,465 : 575,907,563,456 = 575,907,563,456 : x
2. Step 2: Convert to fraction form
   380,669,083,465/575,907,563,456 = 575,907,563,456/x
3. Step 3: Cross multiply
   380,669,083,465x = 575,907,563,456 × 575,907,563,456
4. Step 4: Simplify right side
   380,669,083,465x = 331,669,521,645,826,696,282,112
5. Step 5: Solve for x
   x = 331,669,521,645,826,696,282,112/380,669,083,465
6. Step 6: Final answer
   x = 871,280,427,154.32