Finding the Third Proportional to 77,984 and 111,520

Step by Step Solution

1. Step 1: Write the proportion equation
   77,984 : 111,520 = 111,520 : x
2. Step 2: Convert to fraction form
   77,984/111,520 = 111,520/x
3. Step 3: Cross multiply
   77,984x = 111,520 × 111,520
4. Step 4: Simplify right side
   77,984x = 12,436,710,400
5. Step 5: Solve for x
   x = 12,436,710,400/77,984
6. Step 6: Final answer
   x = 159,477.72