Finding the Third Proportional to 111,552 and 165,408

Step by Step Solution

1. Step 1: Write the proportion equation
   111,552 : 165,408 = 165,408 : x
2. Step 2: Convert to fraction form
   111,552/165,408 = 165,408/x
3. Step 3: Cross multiply
   111,552x = 165,408 × 165,408
4. Step 4: Simplify right side
   111,552x = 27,359,806,464
5. Step 5: Solve for x
   x = 27,359,806,464/111,552
6. Step 6: Final answer
   x = 245,265.05