Finding the Third Proportional to 242.16 and 359.86

Step by Step Solution

1. Step 1: Write the proportion equation
   242.16 : 359.86 = 359.86 : x
2. Step 2: Convert to fraction form
   242.16/359.86 = 359.86/x
3. Step 3: Cross multiply
   242.16x = 359.86 × 359.86
4. Step 4: Simplify right side
   242.16x = 129,498.77
5. Step 5: Solve for x
   x = 129,498.77/242.16
6. Step 6: Final answer
   x = 534.77