Finding the Third Proportional to 116,704 and 256,012

Step by Step Solution

1. Step 1: Write the proportion equation
   116,704 : 256,012 = 256,012 : x
2. Step 2: Convert to fraction form
   116,704/256,012 = 256,012/x
3. Step 3: Cross multiply
   116,704x = 256,012 × 256,012
4. Step 4: Simplify right side
   116,704x = 65,542,144,144
5. Step 5: Solve for x
   x = 65,542,144,144/116,704
6. Step 6: Final answer
   x = 561,610.09