Finding the Third Proportional to 116,762 and 256,852

Step by Step Solution

1. Step 1: Write the proportion equation
   116,762 : 256,852 = 256,852 : x
2. Step 2: Convert to fraction form
   116,762/256,852 = 256,852/x
3. Step 3: Cross multiply
   116,762x = 256,852 × 256,852
4. Step 4: Simplify right side
   116,762x = 65,972,949,904
5. Step 5: Solve for x
   x = 65,972,949,904/116,762
6. Step 6: Final answer
   x = 565,020.73