Finding the Third Proportional to 77,986.50 and 111,524.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,986.50 : 111,524.25 = 111,524.25 : x
2. Step 2: Convert to fraction form
   77,986.50/111,524.25 = 111,524.25/x
3. Step 3: Cross multiply
   77,986.50x = 111,524.25 × 111,524.25
4. Step 4: Simplify right side
   77,986.50x = 12,437,658,338.06
5. Step 5: Solve for x
   x = 12,437,658,338.06/77,986.50
6. Step 6: Final answer
   x = 159,484.76