Finding the Third Proportional to 83,287 and 132,464

Step by Step Solution

1. Step 1: Write the proportion equation
   83,287 : 132,464 = 132,464 : x
2. Step 2: Convert to fraction form
   83,287/132,464 = 132,464/x
3. Step 3: Cross multiply
   83,287x = 132,464 × 132,464
4. Step 4: Simplify right side
   83,287x = 17,546,711,296
5. Step 5: Solve for x
   x = 17,546,711,296/83,287
6. Step 6: Final answer
   x = 210,677.67