Finding the Third Proportional to 56.53 and 106.31

Step by Step Solution

1. Step 1: Write the proportion equation
   56.53 : 106.31 = 106.31 : x
2. Step 2: Convert to fraction form
   56.53/106.31 = 106.31/x
3. Step 3: Cross multiply
   56.53x = 106.31 × 106.31
4. Step 4: Simplify right side
   56.53x = 11,302.35
5. Step 5: Solve for x
   x = 11,302.35/56.53
6. Step 6: Final answer
   x = 199.93