Finding the Third Proportional to 402,160.50 and 562,505.25

Step by Step Solution

1. Step 1: Write the proportion equation
   402,160.50 : 562,505.25 = 562,505.25 : x
2. Step 2: Convert to fraction form
   402,160.50/562,505.25 = 562,505.25/x
3. Step 3: Cross multiply
   402,160.50x = 562,505.25 × 562,505.25
4. Step 4: Simplify right side
   402,160.50x = 316,412,156,277.56
5. Step 5: Solve for x
   x = 316,412,156,277.56/402,160.50
6. Step 6: Final answer
   x = 786,780.79