Finding the Third Proportional to 77,984 and 111,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,984 : 111,520.50 = 111,520.50 : x
2. Step 2: Convert to fraction form
   77,984/111,520.50 = 111,520.50/x
3. Step 3: Cross multiply
   77,984x = 111,520.50 × 111,520.50
4. Step 4: Simplify right side
   77,984x = 12,436,821,920.25
5. Step 5: Solve for x
   x = 12,436,821,920.25/77,984
6. Step 6: Final answer
   x = 159,479.15