Finding the Third Proportional to 117,959.50 and 256,655

Step by Step Solution

1. Step 1: Write the proportion equation
   117,959.50 : 256,655 = 256,655 : x
2. Step 2: Convert to fraction form
   117,959.50/256,655 = 256,655/x
3. Step 3: Cross multiply
   117,959.50x = 256,655 × 256,655
4. Step 4: Simplify right side
   117,959.50x = 65,871,789,025
5. Step 5: Solve for x
   x = 65,871,789,025/117,959.50
6. Step 6: Final answer
   x = 558,427.16