Finding the Third Proportional to 81,866 and 122,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,866 : 122,293.50 = 122,293.50 : x
2. Step 2: Convert to fraction form
   81,866/122,293.50 = 122,293.50/x
3. Step 3: Cross multiply
   81,866x = 122,293.50 × 122,293.50
4. Step 4: Simplify right side
   81,866x = 14,955,700,142.25
5. Step 5: Solve for x
   x = 14,955,700,142.25/81,866
6. Step 6: Final answer
   x = 182,685.12