Finding the Third Proportional to 81,654 and 124,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,654 : 124,909.50 = 124,909.50 : x
2. Step 2: Convert to fraction form
   81,654/124,909.50 = 124,909.50/x
3. Step 3: Cross multiply
   81,654x = 124,909.50 × 124,909.50
4. Step 4: Simplify right side
   81,654x = 15,602,383,190.25
5. Step 5: Solve for x
   x = 15,602,383,190.25/81,654
6. Step 6: Final answer
   x = 191,079.23