Finding the Third Proportional to 74,648 and 111,924

Step by Step Solution

1. Step 1: Write the proportion equation
   74,648 : 111,924 = 111,924 : x
2. Step 2: Convert to fraction form
   74,648/111,924 = 111,924/x
3. Step 3: Cross multiply
   74,648x = 111,924 × 111,924
4. Step 4: Simplify right side
   74,648x = 12,526,981,776
5. Step 5: Solve for x
   x = 12,526,981,776/74,648
6. Step 6: Final answer
   x = 167,814.03