Finding the Third Proportional to 54,322 and 83,105

Step by Step Solution

1. Step 1: Write the proportion equation
   54,322 : 83,105 = 83,105 : x
2. Step 2: Convert to fraction form
   54,322/83,105 = 83,105/x
3. Step 3: Cross multiply
   54,322x = 83,105 × 83,105
4. Step 4: Simplify right side
   54,322x = 6,906,441,025
5. Step 5: Solve for x
   x = 6,906,441,025/54,322
6. Step 6: Final answer
   x = 127,138.93