Finding the Third Proportional to 81,864 and 122,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,864 : 122,290.50 = 122,290.50 : x
2. Step 2: Convert to fraction form
   81,864/122,290.50 = 122,290.50/x
3. Step 3: Cross multiply
   81,864x = 122,290.50 × 122,290.50
4. Step 4: Simplify right side
   81,864x = 14,954,966,390.25
5. Step 5: Solve for x
   x = 14,954,966,390.25/81,864
6. Step 6: Final answer
   x = 182,680.62