Finding the Third Proportional to 564,261 and 765,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   564,261 : 765,472.50 = 765,472.50 : x
2. Step 2: Convert to fraction form
   564,261/765,472.50 = 765,472.50/x
3. Step 3: Cross multiply
   564,261x = 765,472.50 × 765,472.50
4. Step 4: Simplify right side
   564,261x = 585,948,148,256.25
5. Step 5: Solve for x
   x = 585,948,148,256.25/564,261
6. Step 6: Final answer
   x = 1,038,434.60