Finding the Third Proportional to 82,877 and 122,761.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82,877 : 122,761.88 = 122,761.88 : x
2. Step 2: Convert to fraction form
   82,877/122,761.88 = 122,761.88/x
3. Step 3: Cross multiply
   82,877x = 122,761.88 × 122,761.88
4. Step 4: Simplify right side
   82,877x = 15,070,477,953.52
5. Step 5: Solve for x
   x = 15,070,477,953.52/82,877
6. Step 6: Final answer
   x = 181,841.50