Finding the Third Proportional to 229,512 and 497,154

Step by Step Solution

1. Step 1: Write the proportion equation
   229,512 : 497,154 = 497,154 : x
2. Step 2: Convert to fraction form
   229,512/497,154 = 497,154/x
3. Step 3: Cross multiply
   229,512x = 497,154 × 497,154
4. Step 4: Simplify right side
   229,512x = 247,162,099,716
5. Step 5: Solve for x
   x = 247,162,099,716/229,512
6. Step 6: Final answer
   x = 1,076,902.73