Finding the Third Proportional to 229,182 and 493,464

Step by Step Solution

1. Step 1: Write the proportion equation
   229,182 : 493,464 = 493,464 : x
2. Step 2: Convert to fraction form
   229,182/493,464 = 493,464/x
3. Step 3: Cross multiply
   229,182x = 493,464 × 493,464
4. Step 4: Simplify right side
   229,182x = 243,506,719,296
5. Step 5: Solve for x
   x = 243,506,719,296/229,182
6. Step 6: Final answer
   x = 1,062,503.68