Finding the Third Proportional to 83,034 and 132,188

Step by Step Solution

1. Step 1: Write the proportion equation
   83,034 : 132,188 = 132,188 : x
2. Step 2: Convert to fraction form
   83,034/132,188 = 132,188/x
3. Step 3: Cross multiply
   83,034x = 132,188 × 132,188
4. Step 4: Simplify right side
   83,034x = 17,473,667,344
5. Step 5: Solve for x
   x = 17,473,667,344/83,034
6. Step 6: Final answer
   x = 210,439.91