Finding the Third Proportional to 105,849 and 232,002

Step by Step Solution

1. Step 1: Write the proportion equation
   105,849 : 232,002 = 232,002 : x
2. Step 2: Convert to fraction form
   105,849/232,002 = 232,002/x
3. Step 3: Cross multiply
   105,849x = 232,002 × 232,002
4. Step 4: Simplify right side
   105,849x = 53,824,928,004
5. Step 5: Solve for x
   x = 53,824,928,004/105,849
6. Step 6: Final answer
   x = 508,506.72