Finding the Third Proportional to 337.45 and 469.86

Step by Step Solution

1. Step 1: Write the proportion equation
   337.45 : 469.86 = 469.86 : x
2. Step 2: Convert to fraction form
   337.45/469.86 = 469.86/x
3. Step 3: Cross multiply
   337.45x = 469.86 × 469.86
4. Step 4: Simplify right side
   337.45x = 220,771.50
5. Step 5: Solve for x
   x = 220,771.50/337.45
6. Step 6: Final answer
   x = 654.24