Finding the Third Proportional to 235,638 and 352,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,638 : 352,687.50 = 352,687.50 : x
2. Step 2: Convert to fraction form
   235,638/352,687.50 = 352,687.50/x
3. Step 3: Cross multiply
   235,638x = 352,687.50 × 352,687.50
4. Step 4: Simplify right side
   235,638x = 124,388,472,656.25
5. Step 5: Solve for x
   x = 124,388,472,656.25/235,638
6. Step 6: Final answer
   x = 527,879.51