Finding the Third Proportional to 213,538 and 493,678

Step by Step Solution

1. Step 1: Write the proportion equation
   213,538 : 493,678 = 493,678 : x
2. Step 2: Convert to fraction form
   213,538/493,678 = 493,678/x
3. Step 3: Cross multiply
   213,538x = 493,678 × 493,678
4. Step 4: Simplify right side
   213,538x = 243,717,967,684
5. Step 5: Solve for x
   x = 243,717,967,684/213,538
6. Step 6: Final answer
   x = 1,141,333.01