Finding the Third Proportional to 83,034 and 132,186

Step by Step Solution

1. Step 1: Write the proportion equation
   83,034 : 132,186 = 132,186 : x
2. Step 2: Convert to fraction form
   83,034/132,186 = 132,186/x
3. Step 3: Cross multiply
   83,034x = 132,186 × 132,186
4. Step 4: Simplify right side
   83,034x = 17,473,138,596
5. Step 5: Solve for x
   x = 17,473,138,596/83,034
6. Step 6: Final answer
   x = 210,433.54