Finding the Third Proportional to 116,713.50 and 256,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,713.50 : 256,120.50 = 256,120.50 : x
2. Step 2: Convert to fraction form
   116,713.50/256,120.50 = 256,120.50/x
3. Step 3: Cross multiply
   116,713.50x = 256,120.50 × 256,120.50
4. Step 4: Simplify right side
   116,713.50x = 65,597,710,520.25
5. Step 5: Solve for x
   x = 65,597,710,520.25/116,713.50
6. Step 6: Final answer
   x = 562,040.47