Finding the Third Proportional to 331,508 and 491,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   331,508 : 491,047.50 = 491,047.50 : x
2. Step 2: Convert to fraction form
   331,508/491,047.50 = 491,047.50/x
3. Step 3: Cross multiply
   331,508x = 491,047.50 × 491,047.50
4. Step 4: Simplify right side
   331,508x = 241,127,647,256.25
5. Step 5: Solve for x
   x = 241,127,647,256.25/331,508
6. Step 6: Final answer
   x = 727,366.00