Finding the Third Proportional to 74,744 and 111,468

Step by Step Solution

1. Step 1: Write the proportion equation
   74,744 : 111,468 = 111,468 : x
2. Step 2: Convert to fraction form
   74,744/111,468 = 111,468/x
3. Step 3: Cross multiply
   74,744x = 111,468 × 111,468
4. Step 4: Simplify right side
   74,744x = 12,425,115,024
5. Step 5: Solve for x
   x = 12,425,115,024/74,744
6. Step 6: Final answer
   x = 166,235.62