Finding the Third Proportional to 75,536 and 111,105

Step by Step Solution

1. Step 1: Write the proportion equation
   75,536 : 111,105 = 111,105 : x
2. Step 2: Convert to fraction form
   75,536/111,105 = 111,105/x
3. Step 3: Cross multiply
   75,536x = 111,105 × 111,105
4. Step 4: Simplify right side
   75,536x = 12,344,321,025
5. Step 5: Solve for x
   x = 12,344,321,025/75,536
6. Step 6: Final answer
   x = 163,423.02