Finding the Third Proportional to 83,029 and 132,180

Step by Step Solution

1. Step 1: Write the proportion equation
   83,029 : 132,180 = 132,180 : x
2. Step 2: Convert to fraction form
   83,029/132,180 = 132,180/x
3. Step 3: Cross multiply
   83,029x = 132,180 × 132,180
4. Step 4: Simplify right side
   83,029x = 17,471,552,400
5. Step 5: Solve for x
   x = 17,471,552,400/83,029
6. Step 6: Final answer
   x = 210,427.11