Finding the Third Proportional to 109,806 and 229,144

Step by Step Solution

1. Step 1: Write the proportion equation
   109,806 : 229,144 = 229,144 : x
2. Step 2: Convert to fraction form
   109,806/229,144 = 229,144/x
3. Step 3: Cross multiply
   109,806x = 229,144 × 229,144
4. Step 4: Simplify right side
   109,806x = 52,506,972,736
5. Step 5: Solve for x
   x = 52,506,972,736/109,806
6. Step 6: Final answer
   x = 478,179.45