Finding the Third Proportional to 82,334 and 127,105

Step by Step Solution

1. Step 1: Write the proportion equation
   82,334 : 127,105 = 127,105 : x
2. Step 2: Convert to fraction form
   82,334/127,105 = 127,105/x
3. Step 3: Cross multiply
   82,334x = 127,105 × 127,105
4. Step 4: Simplify right side
   82,334x = 16,155,681,025
5. Step 5: Solve for x
   x = 16,155,681,025/82,334
6. Step 6: Final answer
   x = 196,221.26