Finding the Third Proportional to 400,256 and 562,944

Step by Step Solution

1. Step 1: Write the proportion equation
   400,256 : 562,944 = 562,944 : x
2. Step 2: Convert to fraction form
   400,256/562,944 = 562,944/x
3. Step 3: Cross multiply
   400,256x = 562,944 × 562,944
4. Step 4: Simplify right side
   400,256x = 316,905,947,136
5. Step 5: Solve for x
   x = 316,905,947,136/400,256
6. Step 6: Final answer
   x = 791,758.14