Finding the Third Proportional to 77,986.50 and 111,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,986.50 : 111,523.50 = 111,523.50 : x
2. Step 2: Convert to fraction form
   77,986.50/111,523.50 = 111,523.50/x
3. Step 3: Cross multiply
   77,986.50x = 111,523.50 × 111,523.50
4. Step 4: Simplify right side
   77,986.50x = 12,437,491,052.25
5. Step 5: Solve for x
   x = 12,437,491,052.25/77,986.50
6. Step 6: Final answer
   x = 159,482.62