Finding the Third Proportional to 223,434 and 478,854

Step by Step Solution

1. Step 1: Write the proportion equation
   223,434 : 478,854 = 478,854 : x
2. Step 2: Convert to fraction form
   223,434/478,854 = 478,854/x
3. Step 3: Cross multiply
   223,434x = 478,854 × 478,854
4. Step 4: Simplify right side
   223,434x = 229,301,153,316
5. Step 5: Solve for x
   x = 229,301,153,316/223,434
6. Step 6: Final answer
   x = 1,026,259.00