Finding the Third Proportional to 105,024 and 218,904

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 218,904 = 218,904 : x
2. Step 2: Convert to fraction form
   105,024/218,904 = 218,904/x
3. Step 3: Cross multiply
   105,024x = 218,904 × 218,904
4. Step 4: Simplify right side
   105,024x = 47,918,961,216
5. Step 5: Solve for x
   x = 47,918,961,216/105,024
6. Step 6: Final answer
   x = 456,266.77