Finding the Third Proportional to 75,569 and 111,049

Step by Step Solution

1. Step 1: Write the proportion equation
   75,569 : 111,049 = 111,049 : x
2. Step 2: Convert to fraction form
   75,569/111,049 = 111,049/x
3. Step 3: Cross multiply
   75,569x = 111,049 × 111,049
4. Step 4: Simplify right side
   75,569x = 12,331,880,401
5. Step 5: Solve for x
   x = 12,331,880,401/75,569
6. Step 6: Final answer
   x = 163,187.03