Finding the Third Proportional to 75,660 and 111,398

Step by Step Solution

1. Step 1: Write the proportion equation
   75,660 : 111,398 = 111,398 : x
2. Step 2: Convert to fraction form
   75,660/111,398 = 111,398/x
3. Step 3: Cross multiply
   75,660x = 111,398 × 111,398
4. Step 4: Simplify right side
   75,660x = 12,409,514,404
5. Step 5: Solve for x
   x = 12,409,514,404/75,660
6. Step 6: Final answer
   x = 164,016.84