Finding the Third Proportional to 81,029 and 122,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,029 : 122,661.50 = 122,661.50 : x
2. Step 2: Convert to fraction form
   81,029/122,661.50 = 122,661.50/x
3. Step 3: Cross multiply
   81,029x = 122,661.50 × 122,661.50
4. Step 4: Simplify right side
   81,029x = 15,045,843,582.25
5. Step 5: Solve for x
   x = 15,045,843,582.25/81,029
6. Step 6: Final answer
   x = 185,684.68