Finding the Third Proportional to 74,816 and 111,552

Step by Step Solution

1. Step 1: Write the proportion equation
   74,816 : 111,552 = 111,552 : x
2. Step 2: Convert to fraction form
   74,816/111,552 = 111,552/x
3. Step 3: Cross multiply
   74,816x = 111,552 × 111,552
4. Step 4: Simplify right side
   74,816x = 12,443,848,704
5. Step 5: Solve for x
   x = 12,443,848,704/74,816
6. Step 6: Final answer
   x = 166,326.04