Finding the Third Proportional to 74,536 and 111,508

Step by Step Solution

1. Step 1: Write the proportion equation
   74,536 : 111,508 = 111,508 : x
2. Step 2: Convert to fraction form
   74,536/111,508 = 111,508/x
3. Step 3: Cross multiply
   74,536x = 111,508 × 111,508
4. Step 4: Simplify right side
   74,536x = 12,434,034,064
5. Step 5: Solve for x
   x = 12,434,034,064/74,536
6. Step 6: Final answer
   x = 166,819.18