Finding the Third Proportional to 234,256 and 510,916

Step by Step Solution

1. Step 1: Write the proportion equation
   234,256 : 510,916 = 510,916 : x
2. Step 2: Convert to fraction form
   234,256/510,916 = 510,916/x
3. Step 3: Cross multiply
   234,256x = 510,916 × 510,916
4. Step 4: Simplify right side
   234,256x = 261,035,159,056
5. Step 5: Solve for x
   x = 261,035,159,056/234,256
6. Step 6: Final answer
   x = 1,114,315.79