Finding the Third Proportional to 502,281 and 642,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   502,281 : 642,613.50 = 642,613.50 : x
2. Step 2: Convert to fraction form
   502,281/642,613.50 = 642,613.50/x
3. Step 3: Cross multiply
   502,281x = 642,613.50 × 642,613.50
4. Step 4: Simplify right side
   502,281x = 412,952,110,382.25
5. Step 5: Solve for x
   x = 412,952,110,382.25/502,281
6. Step 6: Final answer
   x = 822,153.56