Finding the Third Proportional to 402,164 and 562,510

Step by Step Solution

1. Step 1: Write the proportion equation
   402,164 : 562,510 = 562,510 : x
2. Step 2: Convert to fraction form
   402,164/562,510 = 562,510/x
3. Step 3: Cross multiply
   402,164x = 562,510 × 562,510
4. Step 4: Simplify right side
   402,164x = 316,417,500,100
5. Step 5: Solve for x
   x = 316,417,500,100/402,164
6. Step 6: Final answer
   x = 786,787.23