Finding the Third Proportional to 82,884 and 129,290

Step by Step Solution

1. Step 1: Write the proportion equation
   82,884 : 129,290 = 129,290 : x
2. Step 2: Convert to fraction form
   82,884/129,290 = 129,290/x
3. Step 3: Cross multiply
   82,884x = 129,290 × 129,290
4. Step 4: Simplify right side
   82,884x = 16,715,904,100
5. Step 5: Solve for x
   x = 16,715,904,100/82,884
6. Step 6: Final answer
   x = 201,678.30