Finding the Third Proportional to 106.31 and 182.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 182.25 = 182.25 : x
2. Step 2: Convert to fraction form
   106.31/182.25 = 182.25/x
3. Step 3: Cross multiply
   106.31x = 182.25 × 182.25
4. Step 4: Simplify right side
   106.31x = 33,215.06
5. Step 5: Solve for x
   x = 33,215.06/106.31
6. Step 6: Final answer
   x = 312.43