Finding the Third Proportional to 82,650 and 122,760

Step by Step Solution

1. Step 1: Write the proportion equation
   82,650 : 122,760 = 122,760 : x
2. Step 2: Convert to fraction form
   82,650/122,760 = 122,760/x
3. Step 3: Cross multiply
   82,650x = 122,760 × 122,760
4. Step 4: Simplify right side
   82,650x = 15,070,017,600
5. Step 5: Solve for x
   x = 15,070,017,600/82,650
6. Step 6: Final answer
   x = 182,335.36