Finding the Third Proportional to 109,524 and 235,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,524 : 235,417.50 = 235,417.50 : x
2. Step 2: Convert to fraction form
   109,524/235,417.50 = 235,417.50/x
3. Step 3: Cross multiply
   109,524x = 235,417.50 × 235,417.50
4. Step 4: Simplify right side
   109,524x = 55,421,399,306.25
5. Step 5: Solve for x
   x = 55,421,399,306.25/109,524
6. Step 6: Final answer
   x = 506,020.59