Finding the Third Proportional to 109,644 and 234,836

Step by Step Solution

1. Step 1: Write the proportion equation
   109,644 : 234,836 = 234,836 : x
2. Step 2: Convert to fraction form
   109,644/234,836 = 234,836/x
3. Step 3: Cross multiply
   109,644x = 234,836 × 234,836
4. Step 4: Simplify right side
   109,644x = 55,147,946,896
5. Step 5: Solve for x
   x = 55,147,946,896/109,644
6. Step 6: Final answer
   x = 502,972.77