Finding the Third Proportional to 56,919 and 82,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,919 : 82,231.50 = 82,231.50 : x
2. Step 2: Convert to fraction form
   56,919/82,231.50 = 82,231.50/x
3. Step 3: Cross multiply
   56,919x = 82,231.50 × 82,231.50
4. Step 4: Simplify right side
   56,919x = 6,762,019,592.25
5. Step 5: Solve for x
   x = 6,762,019,592.25/56,919
6. Step 6: Final answer
   x = 118,800.74