Finding the Third Proportional to 213,276 and 493,738

Step by Step Solution

1. Step 1: Write the proportion equation
   213,276 : 493,738 = 493,738 : x
2. Step 2: Convert to fraction form
   213,276/493,738 = 493,738/x
3. Step 3: Cross multiply
   213,276x = 493,738 × 493,738
4. Step 4: Simplify right side
   213,276x = 243,777,212,644
5. Step 5: Solve for x
   x = 243,777,212,644/213,276
6. Step 6: Final answer
   x = 1,143,012.87