Finding the Third Proportional to 219,776 and 470,656

Step by Step Solution

1. Step 1: Write the proportion equation
   219,776 : 470,656 = 470,656 : x
2. Step 2: Convert to fraction form
   219,776/470,656 = 470,656/x
3. Step 3: Cross multiply
   219,776x = 470,656 × 470,656
4. Step 4: Simplify right side
   219,776x = 221,517,070,336
5. Step 5: Solve for x
   x = 221,517,070,336/219,776
6. Step 6: Final answer
   x = 1,007,922.02