Finding the Third Proportional to 75,469 and 116,901

Step by Step Solution

1. Step 1: Write the proportion equation
   75,469 : 116,901 = 116,901 : x
2. Step 2: Convert to fraction form
   75,469/116,901 = 116,901/x
3. Step 3: Cross multiply
   75,469x = 116,901 × 116,901
4. Step 4: Simplify right side
   75,469x = 13,665,843,801
5. Step 5: Solve for x
   x = 13,665,843,801/75,469
6. Step 6: Final answer
   x = 181,078.90