Finding the Third Proportional to 82,877 and 131,440

Step by Step Solution

1. Step 1: Write the proportion equation
   82,877 : 131,440 = 131,440 : x
2. Step 2: Convert to fraction form
   82,877/131,440 = 131,440/x
3. Step 3: Cross multiply
   82,877x = 131,440 × 131,440
4. Step 4: Simplify right side
   82,877x = 17,276,473,600
5. Step 5: Solve for x
   x = 17,276,473,600/82,877
6. Step 6: Final answer
   x = 208,459.21