Finding the Third Proportional to 83,032 and 132,185

Step by Step Solution

1. Step 1: Write the proportion equation
   83,032 : 132,185 = 132,185 : x
2. Step 2: Convert to fraction form
   83,032/132,185 = 132,185/x
3. Step 3: Cross multiply
   83,032x = 132,185 × 132,185
4. Step 4: Simplify right side
   83,032x = 17,472,874,225
5. Step 5: Solve for x
   x = 17,472,874,225/83,032
6. Step 6: Final answer
   x = 210,435.43