Finding the Third Proportional to 75,538 and 111,108

Step by Step Solution

1. Step 1: Write the proportion equation
   75,538 : 111,108 = 111,108 : x
2. Step 2: Convert to fraction form
   75,538/111,108 = 111,108/x
3. Step 3: Cross multiply
   75,538x = 111,108 × 111,108
4. Step 4: Simplify right side
   75,538x = 12,344,987,664
5. Step 5: Solve for x
   x = 12,344,987,664/75,538
6. Step 6: Final answer
   x = 163,427.52