Finding the Third Proportional to 131.81 and 284.06

Step by Step Solution

1. Step 1: Write the proportion equation
   131.81 : 284.06 = 284.06 : x
2. Step 2: Convert to fraction form
   131.81/284.06 = 284.06/x
3. Step 3: Cross multiply
   131.81x = 284.06 × 284.06
4. Step 4: Simplify right side
   131.81x = 80,691.50
5. Step 5: Solve for x
   x = 80,691.50/131.81
6. Step 6: Final answer
   x = 612.17