Finding the Third Proportional to 40,826.85 and 86,266.90

Step by Step Solution

1. Step 1: Write the proportion equation
   40,826.85 : 86,266.90 = 86,266.90 : x
2. Step 2: Convert to fraction form
   40,826.85/86,266.90 = 86,266.90/x
3. Step 3: Cross multiply
   40,826.85x = 86,266.90 × 86,266.90
4. Step 4: Simplify right side
   40,826.85x = 7,441,977,766.03
5. Step 5: Solve for x
   x = 7,441,977,766.03/40,826.85
6. Step 6: Final answer
   x = 182,281.47