Finding the Third Proportional to 402,360 and 563,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,360 : 563,869.50 = 563,869.50 : x
2. Step 2: Convert to fraction form
   402,360/563,869.50 = 563,869.50/x
3. Step 3: Cross multiply
   402,360x = 563,869.50 × 563,869.50
4. Step 4: Simplify right side
   402,360x = 317,948,813,030.25
5. Step 5: Solve for x
   x = 317,948,813,030.25/402,360
6. Step 6: Final answer
   x = 790,209.79