Finding the Third Proportional to 81,727 and 124,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,727 : 124,967.50 = 124,967.50 : x
2. Step 2: Convert to fraction form
   81,727/124,967.50 = 124,967.50/x
3. Step 3: Cross multiply
   81,727x = 124,967.50 × 124,967.50
4. Step 4: Simplify right side
   81,727x = 15,616,876,056.25
5. Step 5: Solve for x
   x = 15,616,876,056.25/81,727
6. Step 6: Final answer
   x = 191,085.88