Finding the Third Proportional to 96,282 and 231,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,282 : 231,943.50 = 231,943.50 : x
2. Step 2: Convert to fraction form
   96,282/231,943.50 = 231,943.50/x
3. Step 3: Cross multiply
   96,282x = 231,943.50 × 231,943.50
4. Step 4: Simplify right side
   96,282x = 53,797,787,192.25
5. Step 5: Solve for x
   x = 53,797,787,192.25/96,282
6. Step 6: Final answer
   x = 558,752.28