Finding the Third Proportional to 122,478 and 179,521

Step by Step Solution

1. Step 1: Write the proportion equation
   122,478 : 179,521 = 179,521 : x
2. Step 2: Convert to fraction form
   122,478/179,521 = 179,521/x
3. Step 3: Cross multiply
   122,478x = 179,521 × 179,521
4. Step 4: Simplify right side
   122,478x = 32,227,789,441
5. Step 5: Solve for x
   x = 32,227,789,441/122,478
6. Step 6: Final answer
   x = 263,131.25