Finding the Third Proportional to 373.50 and 558.38

Step by Step Solution

1. Step 1: Write the proportion equation
   373.50 : 558.38 = 558.38 : x
2. Step 2: Convert to fraction form
   373.50/558.38 = 558.38/x
3. Step 3: Cross multiply
   373.50x = 558.38 × 558.38
4. Step 4: Simplify right side
   373.50x = 311,782.64
5. Step 5: Solve for x
   x = 311,782.64/373.50
6. Step 6: Final answer
   x = 834.76