Finding the Third Proportional to 296,498.25 and 638,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,498.25 : 638,023.50 = 638,023.50 : x
2. Step 2: Convert to fraction form
   296,498.25/638,023.50 = 638,023.50/x
3. Step 3: Cross multiply
   296,498.25x = 638,023.50 × 638,023.50
4. Step 4: Simplify right side
   296,498.25x = 407,073,986,552.25
5. Step 5: Solve for x
   x = 407,073,986,552.25/296,498.25
6. Step 6: Final answer
   x = 1,372,938.92