Finding the Third Proportional to 85,184 and 131,766

Step by Step Solution

1. Step 1: Write the proportion equation
   85,184 : 131,766 = 131,766 : x
2. Step 2: Convert to fraction form
   85,184/131,766 = 131,766/x
3. Step 3: Cross multiply
   85,184x = 131,766 × 131,766
4. Step 4: Simplify right side
   85,184x = 17,362,278,756
5. Step 5: Solve for x
   x = 17,362,278,756/85,184
6. Step 6: Final answer
   x = 203,820.89