Finding the Third Proportional to 116,708.50 and 256,014

Step by Step Solution

1. Step 1: Write the proportion equation
   116,708.50 : 256,014 = 256,014 : x
2. Step 2: Convert to fraction form
   116,708.50/256,014 = 256,014/x
3. Step 3: Cross multiply
   116,708.50x = 256,014 × 256,014
4. Step 4: Simplify right side
   116,708.50x = 65,543,168,196
5. Step 5: Solve for x
   x = 65,543,168,196/116,708.50
6. Step 6: Final answer
   x = 561,597.21