Finding the Third Proportional to 108,023 and 227,008

Step by Step Solution

1. Step 1: Write the proportion equation
   108,023 : 227,008 = 227,008 : x
2. Step 2: Convert to fraction form
   108,023/227,008 = 227,008/x
3. Step 3: Cross multiply
   108,023x = 227,008 × 227,008
4. Step 4: Simplify right side
   108,023x = 51,532,632,064
5. Step 5: Solve for x
   x = 51,532,632,064/108,023
6. Step 6: Final answer
   x = 477,052.41