Finding the Third Proportional to 77,924 and 111,048

Step by Step Solution

1. Step 1: Write the proportion equation
   77,924 : 111,048 = 111,048 : x
2. Step 2: Convert to fraction form
   77,924/111,048 = 111,048/x
3. Step 3: Cross multiply
   77,924x = 111,048 × 111,048
4. Step 4: Simplify right side
   77,924x = 12,331,658,304
5. Step 5: Solve for x
   x = 12,331,658,304/77,924
6. Step 6: Final answer
   x = 158,252.38