Finding the Third Proportional to 218,724 and 478,596

Step by Step Solution

1. Step 1: Write the proportion equation
   218,724 : 478,596 = 478,596 : x
2. Step 2: Convert to fraction form
   218,724/478,596 = 478,596/x
3. Step 3: Cross multiply
   218,724x = 478,596 × 478,596
4. Step 4: Simplify right side
   218,724x = 229,054,131,216
5. Step 5: Solve for x
   x = 229,054,131,216/218,724
6. Step 6: Final answer
   x = 1,047,229.07