Finding the Third Proportional to 229,566 and 336,789

Step by Step Solution

1. Step 1: Write the proportion equation
   229,566 : 336,789 = 336,789 : x
2. Step 2: Convert to fraction form
   229,566/336,789 = 336,789/x
3. Step 3: Cross multiply
   229,566x = 336,789 × 336,789
4. Step 4: Simplify right side
   229,566x = 113,426,830,521
5. Step 5: Solve for x
   x = 113,426,830,521/229,566
6. Step 6: Final answer
   x = 494,092.46