Finding the Third Proportional to 357,641.50 and 501,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   357,641.50 : 501,307.50 = 501,307.50 : x
2. Step 2: Convert to fraction form
   357,641.50/501,307.50 = 501,307.50/x
3. Step 3: Cross multiply
   357,641.50x = 501,307.50 × 501,307.50
4. Step 4: Simplify right side
   357,641.50x = 251,309,209,556.25
5. Step 5: Solve for x
   x = 251,309,209,556.25/357,641.50
6. Step 6: Final answer
   x = 702,684.70