Finding the Third Proportional to 221,696 and 484,864

Step by Step Solution

1. Step 1: Write the proportion equation
   221,696 : 484,864 = 484,864 : x
2. Step 2: Convert to fraction form
   221,696/484,864 = 484,864/x
3. Step 3: Cross multiply
   221,696x = 484,864 × 484,864
4. Step 4: Simplify right side
   221,696x = 235,093,098,496
5. Step 5: Solve for x
   x = 235,093,098,496/221,696
6. Step 6: Final answer
   x = 1,060,430.04