Finding the Third Proportional to 223,406 and 478,348

Step by Step Solution

1. Step 1: Write the proportion equation
   223,406 : 478,348 = 478,348 : x
2. Step 2: Convert to fraction form
   223,406/478,348 = 478,348/x
3. Step 3: Cross multiply
   223,406x = 478,348 × 478,348
4. Step 4: Simplify right side
   223,406x = 228,816,809,104
5. Step 5: Solve for x
   x = 228,816,809,104/223,406
6. Step 6: Final answer
   x = 1,024,219.62