Finding the Third Proportional to 296,145 and 458,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,145 : 458,059.50 = 458,059.50 : x
2. Step 2: Convert to fraction form
   296,145/458,059.50 = 458,059.50/x
3. Step 3: Cross multiply
   296,145x = 458,059.50 × 458,059.50
4. Step 4: Simplify right side
   296,145x = 209,818,505,540.25
5. Step 5: Solve for x
   x = 209,818,505,540.25/296,145
6. Step 6: Final answer
   x = 708,499.23