Finding the Third Proportional to 229,472 and 497,074

Step by Step Solution

1. Step 1: Write the proportion equation
   229,472 : 497,074 = 497,074 : x
2. Step 2: Convert to fraction form
   229,472/497,074 = 497,074/x
3. Step 3: Cross multiply
   229,472x = 497,074 × 497,074
4. Step 4: Simplify right side
   229,472x = 247,082,561,476
5. Step 5: Solve for x
   x = 247,082,561,476/229,472
6. Step 6: Final answer
   x = 1,076,743.84