Finding the Third Proportional to 219,055.50 and 338,256

Step by Step Solution

1. Step 1: Write the proportion equation
   219,055.50 : 338,256 = 338,256 : x
2. Step 2: Convert to fraction form
   219,055.50/338,256 = 338,256/x
3. Step 3: Cross multiply
   219,055.50x = 338,256 × 338,256
4. Step 4: Simplify right side
   219,055.50x = 114,417,121,536
5. Step 5: Solve for x
   x = 114,417,121,536/219,055.50
6. Step 6: Final answer
   x = 522,320.24