Finding the Third Proportional to 221.34 and 500.06

Step by Step Solution

1. Step 1: Write the proportion equation
   221.34 : 500.06 = 500.06 : x
2. Step 2: Convert to fraction form
   221.34/500.06 = 500.06/x
3. Step 3: Cross multiply
   221.34x = 500.06 × 500.06
4. Step 4: Simplify right side
   221.34x = 250,062.50
5. Step 5: Solve for x
   x = 250,062.50/221.34
6. Step 6: Final answer
   x = 1,129.75