Finding the Third Proportional to 82,160 and 132,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,160 : 132,275.50 = 132,275.50 : x
2. Step 2: Convert to fraction form
   82,160/132,275.50 = 132,275.50/x
3. Step 3: Cross multiply
   82,160x = 132,275.50 × 132,275.50
4. Step 4: Simplify right side
   82,160x = 17,496,807,900.25
5. Step 5: Solve for x
   x = 17,496,807,900.25/82,160
6. Step 6: Final answer
   x = 212,960.17