Finding the Third Proportional to 109,724 and 236,098

Step by Step Solution

1. Step 1: Write the proportion equation
   109,724 : 236,098 = 236,098 : x
2. Step 2: Convert to fraction form
   109,724/236,098 = 236,098/x
3. Step 3: Cross multiply
   109,724x = 236,098 × 236,098
4. Step 4: Simplify right side
   109,724x = 55,742,265,604
5. Step 5: Solve for x
   x = 55,742,265,604/109,724
6. Step 6: Final answer
   x = 508,022.54