Finding the Third Proportional to 117,719.50 and 256,455

Step by Step Solution

1. Step 1: Write the proportion equation
   117,719.50 : 256,455 = 256,455 : x
2. Step 2: Convert to fraction form
   117,719.50/256,455 = 256,455/x
3. Step 3: Cross multiply
   117,719.50x = 256,455 × 256,455
4. Step 4: Simplify right side
   117,719.50x = 65,769,167,025
5. Step 5: Solve for x
   x = 65,769,167,025/117,719.50
6. Step 6: Final answer
   x = 558,693.90