Finding the Third Proportional to 56.46 and 123.05

Step by Step Solution

1. Step 1: Write the proportion equation
   56.46 : 123.05 = 123.05 : x
2. Step 2: Convert to fraction form
   56.46/123.05 = 123.05/x
3. Step 3: Cross multiply
   56.46x = 123.05 × 123.05
4. Step 4: Simplify right side
   56.46x = 15,140.53
5. Step 5: Solve for x
   x = 15,140.53/56.46
6. Step 6: Final answer
   x = 268.16