Finding the Third Proportional to 221,426 and 352,499

Step by Step Solution

1. Step 1: Write the proportion equation
   221,426 : 352,499 = 352,499 : x
2. Step 2: Convert to fraction form
   221,426/352,499 = 352,499/x
3. Step 3: Cross multiply
   221,426x = 352,499 × 352,499
4. Step 4: Simplify right side
   221,426x = 124,255,545,001
5. Step 5: Solve for x
   x = 124,255,545,001/221,426
6. Step 6: Final answer
   x = 561,160.59