Finding the Third Proportional to 77,984 and 111,144

Step by Step Solution

1. Step 1: Write the proportion equation
   77,984 : 111,144 = 111,144 : x
2. Step 2: Convert to fraction form
   77,984/111,144 = 111,144/x
3. Step 3: Cross multiply
   77,984x = 111,144 × 111,144
4. Step 4: Simplify right side
   77,984x = 12,352,988,736
5. Step 5: Solve for x
   x = 12,352,988,736/77,984
6. Step 6: Final answer
   x = 158,404.14