Finding the Third Proportional to 407,769.75 and 959,400

Step by Step Solution

1. Step 1: Write the proportion equation
   407,769.75 : 959,400 = 959,400 : x
2. Step 2: Convert to fraction form
   407,769.75/959,400 = 959,400/x
3. Step 3: Cross multiply
   407,769.75x = 959,400 × 959,400
4. Step 4: Simplify right side
   407,769.75x = 920,448,360,000
5. Step 5: Solve for x
   x = 920,448,360,000/407,769.75
6. Step 6: Final answer
   x = 2,257,274.75