Finding the Third Proportional to 85,521 and 132,434

Step by Step Solution

1. Step 1: Write the proportion equation
   85,521 : 132,434 = 132,434 : x
2. Step 2: Convert to fraction form
   85,521/132,434 = 132,434/x
3. Step 3: Cross multiply
   85,521x = 132,434 × 132,434
4. Step 4: Simplify right side
   85,521x = 17,538,764,356
5. Step 5: Solve for x
   x = 17,538,764,356/85,521
6. Step 6: Final answer
   x = 205,081.38