Finding the Third Proportional to 218.32 and 469.86

Step by Step Solution

1. Step 1: Write the proportion equation
   218.32 : 469.86 = 469.86 : x
2. Step 2: Convert to fraction form
   218.32/469.86 = 469.86/x
3. Step 3: Cross multiply
   218.32x = 469.86 × 469.86
4. Step 4: Simplify right side
   218.32x = 220,771.50
5. Step 5: Solve for x
   x = 220,771.50/218.32
6. Step 6: Final answer
   x = 1,011.23