Finding the Third Proportional to 256,656 and 599,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,656 : 599,722.50 = 599,722.50 : x
2. Step 2: Convert to fraction form
   256,656/599,722.50 = 599,722.50/x
3. Step 3: Cross multiply
   256,656x = 599,722.50 × 599,722.50
4. Step 4: Simplify right side
   256,656x = 359,667,077,006.25
5. Step 5: Solve for x
   x = 359,667,077,006.25/256,656
6. Step 6: Final answer
   x = 1,401,358.54