Finding the Third Proportional to 117,720 and 256,455.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,720 : 256,455.75 = 256,455.75 : x
2. Step 2: Convert to fraction form
   117,720/256,455.75 = 256,455.75/x
3. Step 3: Cross multiply
   117,720x = 256,455.75 × 256,455.75
4. Step 4: Simplify right side
   117,720x = 65,769,551,708.06
5. Step 5: Solve for x
   x = 65,769,551,708.06/117,720
6. Step 6: Final answer
   x = 558,694.80