Finding the Third Proportional to 53,166 and 82,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,166 : 82,261.50 = 82,261.50 : x
2. Step 2: Convert to fraction form
   53,166/82,261.50 = 82,261.50/x
3. Step 3: Cross multiply
   53,166x = 82,261.50 × 82,261.50
4. Step 4: Simplify right side
   53,166x = 6,766,954,382.25
5. Step 5: Solve for x
   x = 6,766,954,382.25/53,166
6. Step 6: Final answer
   x = 127,279.73