Finding the Third Proportional to 85,478 and 132,698

Step by Step Solution

1. Step 1: Write the proportion equation
   85,478 : 132,698 = 132,698 : x
2. Step 2: Convert to fraction form
   85,478/132,698 = 132,698/x
3. Step 3: Cross multiply
   85,478x = 132,698 × 132,698
4. Step 4: Simplify right side
   85,478x = 17,608,759,204
5. Step 5: Solve for x
   x = 17,608,759,204/85,478
6. Step 6: Final answer
   x = 206,003.41