Finding the Third Proportional to 221,776 and 474,656

Step by Step Solution

1. Step 1: Write the proportion equation
   221,776 : 474,656 = 474,656 : x
2. Step 2: Convert to fraction form
   221,776/474,656 = 474,656/x
3. Step 3: Cross multiply
   221,776x = 474,656 × 474,656
4. Step 4: Simplify right side
   221,776x = 225,298,318,336
5. Step 5: Solve for x
   x = 225,298,318,336/221,776
6. Step 6: Final answer
   x = 1,015,882.32