Finding the Third Proportional to 218,742 and 478,632

Step by Step Solution

1. Step 1: Write the proportion equation
   218,742 : 478,632 = 478,632 : x
2. Step 2: Convert to fraction form
   218,742/478,632 = 478,632/x
3. Step 3: Cross multiply
   218,742x = 478,632 × 478,632
4. Step 4: Simplify right side
   218,742x = 229,088,591,424
5. Step 5: Solve for x
   x = 229,088,591,424/218,742
6. Step 6: Final answer
   x = 1,047,300.43