Finding the Third Proportional to 309,264 and 478,862

Step by Step Solution

1. Step 1: Write the proportion equation
   309,264 : 478,862 = 478,862 : x
2. Step 2: Convert to fraction form
   309,264/478,862 = 478,862/x
3. Step 3: Cross multiply
   309,264x = 478,862 × 478,862
4. Step 4: Simplify right side
   309,264x = 229,308,815,044
5. Step 5: Solve for x
   x = 229,308,815,044/309,264
6. Step 6: Final answer
   x = 741,466.24