Finding the Third Proportional to 226,804 and 493,016

Step by Step Solution

1. Step 1: Write the proportion equation
   226,804 : 493,016 = 493,016 : x
2. Step 2: Convert to fraction form
   226,804/493,016 = 493,016/x
3. Step 3: Cross multiply
   226,804x = 493,016 × 493,016
4. Step 4: Simplify right side
   226,804x = 243,064,776,256
5. Step 5: Solve for x
   x = 243,064,776,256/226,804
6. Step 6: Final answer
   x = 1,071,695.28