Finding the Third Proportional to 109,882.50 and 233,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,882.50 : 233,257.50 = 233,257.50 : x
2. Step 2: Convert to fraction form
   109,882.50/233,257.50 = 233,257.50/x
3. Step 3: Cross multiply
   109,882.50x = 233,257.50 × 233,257.50
4. Step 4: Simplify right side
   109,882.50x = 54,409,061,306.25
5. Step 5: Solve for x
   x = 54,409,061,306.25/109,882.50
6. Step 6: Final answer
   x = 495,156.75