Finding the Third Proportional to 262,434 and 393,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,434 : 393,583.50 = 393,583.50 : x
2. Step 2: Convert to fraction form
   262,434/393,583.50 = 393,583.50/x
3. Step 3: Cross multiply
   262,434x = 393,583.50 × 393,583.50
4. Step 4: Simplify right side
   262,434x = 154,907,971,472.25
5. Step 5: Solve for x
   x = 154,907,971,472.25/262,434
6. Step 6: Final answer
   x = 590,274.02