Finding the Third Proportional to 109,724 and 236,099

Step by Step Solution

1. Step 1: Write the proportion equation
   109,724 : 236,099 = 236,099 : x
2. Step 2: Convert to fraction form
   109,724/236,099 = 236,099/x
3. Step 3: Cross multiply
   109,724x = 236,099 × 236,099
4. Step 4: Simplify right side
   109,724x = 55,742,737,801
5. Step 5: Solve for x
   x = 55,742,737,801/109,724
6. Step 6: Final answer
   x = 508,026.85