Finding the Third Proportional to 353,083.50 and 764,426.25

Step by Step Solution

1. Step 1: Write the proportion equation
   353,083.50 : 764,426.25 = 764,426.25 : x
2. Step 2: Convert to fraction form
   353,083.50/764,426.25 = 764,426.25/x
3. Step 3: Cross multiply
   353,083.50x = 764,426.25 × 764,426.25
4. Step 4: Simplify right side
   353,083.50x = 584,347,491,689.06
5. Step 5: Solve for x
   x = 584,347,491,689.06/353,083.50
6. Step 6: Final answer
   x = 1,654,983.85