Finding the Third Proportional to 213,256 and 493,688

Step by Step Solution

1. Step 1: Write the proportion equation
   213,256 : 493,688 = 493,688 : x
2. Step 2: Convert to fraction form
   213,256/493,688 = 493,688/x
3. Step 3: Cross multiply
   213,256x = 493,688 × 493,688
4. Step 4: Simplify right side
   213,256x = 243,727,841,344
5. Step 5: Solve for x
   x = 243,727,841,344/213,256
6. Step 6: Final answer
   x = 1,142,888.55