Finding the Third Proportional to 357,633 and 501,250.50

Step by Step Solution

1. Step 1: Write the proportion equation
   357,633 : 501,250.50 = 501,250.50 : x
2. Step 2: Convert to fraction form
   357,633/501,250.50 = 501,250.50/x
3. Step 3: Cross multiply
   357,633x = 501,250.50 × 501,250.50
4. Step 4: Simplify right side
   357,633x = 251,252,063,750.25
5. Step 5: Solve for x
   x = 251,252,063,750.25/357,633
6. Step 6: Final answer
   x = 702,541.61