Finding the Third Proportional to 221,722.50 and 502,638

Step by Step Solution

1. Step 1: Write the proportion equation
   221,722.50 : 502,638 = 502,638 : x
2. Step 2: Convert to fraction form
   221,722.50/502,638 = 502,638/x
3. Step 3: Cross multiply
   221,722.50x = 502,638 × 502,638
4. Step 4: Simplify right side
   221,722.50x = 252,644,959,044
5. Step 5: Solve for x
   x = 252,644,959,044/221,722.50
6. Step 6: Final answer
   x = 1,139,464.69