Finding the Third Proportional to 221,646 and 472,776

Step by Step Solution

1. Step 1: Write the proportion equation
   221,646 : 472,776 = 472,776 : x
2. Step 2: Convert to fraction form
   221,646/472,776 = 472,776/x
3. Step 3: Cross multiply
   221,646x = 472,776 × 472,776
4. Step 4: Simplify right side
   221,646x = 223,517,146,176
5. Step 5: Solve for x
   x = 223,517,146,176/221,646
6. Step 6: Final answer
   x = 1,008,442.05