Finding the Third Proportional to 340,147.69 and 491,695.31

Step by Step Solution

1. Step 1: Write the proportion equation
   340,147.69 : 491,695.31 = 491,695.31 : x
2. Step 2: Convert to fraction form
   340,147.69/491,695.31 = 491,695.31/x
3. Step 3: Cross multiply
   340,147.69x = 491,695.31 × 491,695.31
4. Step 4: Simplify right side
   340,147.69x = 241,764,280,334.47
5. Step 5: Solve for x
   x = 241,764,280,334.47/340,147.69
6. Step 6: Final answer
   x = 710,762.68