Finding the Third Proportional to 402,162 and 562,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,162 : 562,507.50 = 562,507.50 : x
2. Step 2: Convert to fraction form
   402,162/562,507.50 = 562,507.50/x
3. Step 3: Cross multiply
   402,162x = 562,507.50 × 562,507.50
4. Step 4: Simplify right side
   402,162x = 316,414,687,556.25
5. Step 5: Solve for x
   x = 316,414,687,556.25/402,162
6. Step 6: Final answer
   x = 786,784.15