Finding the Third Proportional to 109,604 and 238,004

Step by Step Solution

1. Step 1: Write the proportion equation
   109,604 : 238,004 = 238,004 : x
2. Step 2: Convert to fraction form
   109,604/238,004 = 238,004/x
3. Step 3: Cross multiply
   109,604x = 238,004 × 238,004
4. Step 4: Simplify right side
   109,604x = 56,645,904,016
5. Step 5: Solve for x
   x = 56,645,904,016/109,604
6. Step 6: Final answer
   x = 516,823.33