Finding the Third Proportional to 116,877 and 256,002

Step by Step Solution

1. Step 1: Write the proportion equation
   116,877 : 256,002 = 256,002 : x
2. Step 2: Convert to fraction form
   116,877/256,002 = 256,002/x
3. Step 3: Cross multiply
   116,877x = 256,002 × 256,002
4. Step 4: Simplify right side
   116,877x = 65,537,024,004
5. Step 5: Solve for x
   x = 65,537,024,004/116,877
6. Step 6: Final answer
   x = 560,734.99