Finding the Third Proportional to 214,944 and 468,744

Step by Step Solution

1. Step 1: Write the proportion equation
   214,944 : 468,744 = 468,744 : x
2. Step 2: Convert to fraction form
   214,944/468,744 = 468,744/x
3. Step 3: Cross multiply
   214,944x = 468,744 × 468,744
4. Step 4: Simplify right side
   214,944x = 219,720,937,536
5. Step 5: Solve for x
   x = 219,720,937,536/214,944
6. Step 6: Final answer
   x = 1,022,224.10