Finding the Third Proportional to 105,678 and 234,984

Step by Step Solution

1. Step 1: Write the proportion equation
   105,678 : 234,984 = 234,984 : x
2. Step 2: Convert to fraction form
   105,678/234,984 = 234,984/x
3. Step 3: Cross multiply
   105,678x = 234,984 × 234,984
4. Step 4: Simplify right side
   105,678x = 55,217,480,256
5. Step 5: Solve for x
   x = 55,217,480,256/105,678
6. Step 6: Final answer
   x = 522,506.86