Finding the Third Proportional to 81,760.50 and 109,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,760.50 : 109,876.50 = 109,876.50 : x
2. Step 2: Convert to fraction form
   81,760.50/109,876.50 = 109,876.50/x
3. Step 3: Cross multiply
   81,760.50x = 109,876.50 × 109,876.50
4. Step 4: Simplify right side
   81,760.50x = 12,072,845,252.25
5. Step 5: Solve for x
   x = 12,072,845,252.25/81,760.50
6. Step 6: Final answer
   x = 147,661.10