Finding the Third Proportional to 219.09 and 467.72

Step by Step Solution

1. Step 1: Write the proportion equation
   219.09 : 467.72 = 467.72 : x
2. Step 2: Convert to fraction form
   219.09/467.72 = 467.72/x
3. Step 3: Cross multiply
   219.09x = 467.72 × 467.72
4. Step 4: Simplify right side
   219.09x = 218,760.83
5. Step 5: Solve for x
   x = 218,760.83/219.09
6. Step 6: Final answer
   x = 998.48