Finding the Third Proportional to 106.31 and 234.56

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 234.56 = 234.56 : x
2. Step 2: Convert to fraction form
   106.31/234.56 = 234.56/x
3. Step 3: Cross multiply
   106.31x = 234.56 × 234.56
4. Step 4: Simplify right side
   106.31x = 55,019.57
5. Step 5: Solve for x
   x = 55,019.57/106.31
6. Step 6: Final answer
   x = 517.53