Finding the Third Proportional to 106.31 and 247.69

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 247.69 = 247.69 : x
2. Step 2: Convert to fraction form
   106.31/247.69 = 247.69/x
3. Step 3: Cross multiply
   106.31x = 247.69 × 247.69
4. Step 4: Simplify right side
   106.31x = 61,349.10
5. Step 5: Solve for x
   x = 61,349.10/106.31
6. Step 6: Final answer
   x = 577.06