Finding the Third Proportional to 116,704 and 256,100

Step by Step Solution

1. Step 1: Write the proportion equation
   116,704 : 256,100 = 256,100 : x
2. Step 2: Convert to fraction form
   116,704/256,100 = 256,100/x
3. Step 3: Cross multiply
   116,704x = 256,100 × 256,100
4. Step 4: Simplify right side
   116,704x = 65,587,210,000
5. Step 5: Solve for x
   x = 65,587,210,000/116,704
6. Step 6: Final answer
   x = 561,996.25