Finding the Third Proportional to 83,102 and 132,105

Step by Step Solution

1. Step 1: Write the proportion equation
   83,102 : 132,105 = 132,105 : x
2. Step 2: Convert to fraction form
   83,102/132,105 = 132,105/x
3. Step 3: Cross multiply
   83,102x = 132,105 × 132,105
4. Step 4: Simplify right side
   83,102x = 17,451,731,025
5. Step 5: Solve for x
   x = 17,451,731,025/83,102
6. Step 6: Final answer
   x = 210,003.74