Finding the Third Proportional to 51,290 and 81,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,290 : 81,146.50 = 81,146.50 : x
2. Step 2: Convert to fraction form
   51,290/81,146.50 = 81,146.50/x
3. Step 3: Cross multiply
   51,290x = 81,146.50 × 81,146.50
4. Step 4: Simplify right side
   51,290x = 6,584,754,462.25
5. Step 5: Solve for x
   x = 6,584,754,462.25/51,290
6. Step 6: Final answer
   x = 128,382.81