Finding the Third Proportional to 300.56 and 542.06

Step by Step Solution

1. Step 1: Write the proportion equation
   300.56 : 542.06 = 542.06 : x
2. Step 2: Convert to fraction form
   300.56/542.06 = 542.06/x
3. Step 3: Cross multiply
   300.56x = 542.06 × 542.06
4. Step 4: Simplify right side
   300.56x = 293,831.75
5. Step 5: Solve for x
   x = 293,831.75/300.56
6. Step 6: Final answer
   x = 977.61