Finding the Third Proportional to 380,493 and 569,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,493 : 569,551.50 = 569,551.50 : x
2. Step 2: Convert to fraction form
   380,493/569,551.50 = 569,551.50/x
3. Step 3: Cross multiply
   380,493x = 569,551.50 × 569,551.50
4. Step 4: Simplify right side
   380,493x = 324,388,911,152.25
5. Step 5: Solve for x
   x = 324,388,911,152.25/380,493
6. Step 6: Final answer
   x = 852,548.96