Finding the Third Proportional to 46,224 and 109,044

Step by Step Solution

1. Step 1: Write the proportion equation
   46,224 : 109,044 = 109,044 : x
2. Step 2: Convert to fraction form
   46,224/109,044 = 109,044/x
3. Step 3: Cross multiply
   46,224x = 109,044 × 109,044
4. Step 4: Simplify right side
   46,224x = 11,890,593,936
5. Step 5: Solve for x
   x = 11,890,593,936/46,224
6. Step 6: Final answer
   x = 257,238.53