Finding the Third Proportional to 41,772 and 86,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,772 : 86,311.50 = 86,311.50 : x
2. Step 2: Convert to fraction form
   41,772/86,311.50 = 86,311.50/x
3. Step 3: Cross multiply
   41,772x = 86,311.50 × 86,311.50
4. Step 4: Simplify right side
   41,772x = 7,449,675,032.25
5. Step 5: Solve for x
   x = 7,449,675,032.25/41,772
6. Step 6: Final answer
   x = 178,341.35