Finding the Third Proportional to 116,741 and 256,078

Step by Step Solution

1. Step 1: Write the proportion equation
   116,741 : 256,078 = 256,078 : x
2. Step 2: Convert to fraction form
   116,741/256,078 = 256,078/x
3. Step 3: Cross multiply
   116,741x = 256,078 × 256,078
4. Step 4: Simplify right side
   116,741x = 65,575,942,084
5. Step 5: Solve for x
   x = 65,575,942,084/116,741
6. Step 6: Final answer
   x = 561,721.61