Finding the Third Proportional to 83,032 and 132,184

Step by Step Solution

1. Step 1: Write the proportion equation
   83,032 : 132,184 = 132,184 : x
2. Step 2: Convert to fraction form
   83,032/132,184 = 132,184/x
3. Step 3: Cross multiply
   83,032x = 132,184 × 132,184
4. Step 4: Simplify right side
   83,032x = 17,472,609,856
5. Step 5: Solve for x
   x = 17,472,609,856/83,032
6. Step 6: Final answer
   x = 210,432.24