Finding the Third Proportional to 229,536 and 497,188

Step by Step Solution

1. Step 1: Write the proportion equation
   229,536 : 497,188 = 497,188 : x
2. Step 2: Convert to fraction form
   229,536/497,188 = 497,188/x
3. Step 3: Cross multiply
   229,536x = 497,188 × 497,188
4. Step 4: Simplify right side
   229,536x = 247,195,907,344
5. Step 5: Solve for x
   x = 247,195,907,344/229,536
6. Step 6: Final answer
   x = 1,076,937.42