Finding the Third Proportional to 229,394 and 493,942

Step by Step Solution

1. Step 1: Write the proportion equation
   229,394 : 493,942 = 493,942 : x
2. Step 2: Convert to fraction form
   229,394/493,942 = 493,942/x
3. Step 3: Cross multiply
   229,394x = 493,942 × 493,942
4. Step 4: Simplify right side
   229,394x = 243,978,699,364
5. Step 5: Solve for x
   x = 243,978,699,364/229,394
6. Step 6: Final answer
   x = 1,063,579.25