Finding the Third Proportional to 82,872 and 129,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,872 : 129,154.50 = 129,154.50 : x
2. Step 2: Convert to fraction form
   82,872/129,154.50 = 129,154.50/x
3. Step 3: Cross multiply
   82,872x = 129,154.50 × 129,154.50
4. Step 4: Simplify right side
   82,872x = 16,680,884,870.25
5. Step 5: Solve for x
   x = 16,680,884,870.25/82,872
6. Step 6: Final answer
   x = 201,284.93