Finding the Third Proportional to 75,876 and 109,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,876 : 109,294.50 = 109,294.50 : x
2. Step 2: Convert to fraction form
   75,876/109,294.50 = 109,294.50/x
3. Step 3: Cross multiply
   75,876x = 109,294.50 × 109,294.50
4. Step 4: Simplify right side
   75,876x = 11,945,287,730.25
5. Step 5: Solve for x
   x = 11,945,287,730.25/75,876
6. Step 6: Final answer
   x = 157,431.70