Finding the Third Proportional to 140,776 and 220,384

Step by Step Solution

1. Step 1: Write the proportion equation
   140,776 : 220,384 = 220,384 : x
2. Step 2: Convert to fraction form
   140,776/220,384 = 220,384/x
3. Step 3: Cross multiply
   140,776x = 220,384 × 220,384
4. Step 4: Simplify right side
   140,776x = 48,569,107,456
5. Step 5: Solve for x
   x = 48,569,107,456/140,776
6. Step 6: Final answer
   x = 345,009.86