Finding the Third Proportional to 75,829.50 and 109,233.38

Step by Step Solution

1. Step 1: Write the proportion equation
   75,829.50 : 109,233.38 = 109,233.38 : x
2. Step 2: Convert to fraction form
   75,829.50/109,233.38 = 109,233.38/x
3. Step 3: Cross multiply
   75,829.50x = 109,233.38 × 109,233.38
4. Step 4: Simplify right side
   75,829.50x = 11,931,930,213.89
5. Step 5: Solve for x
   x = 11,931,930,213.89/75,829.50
6. Step 6: Final answer
   x = 157,352.09