Finding the Third Proportional to 262,215 and 393,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,215 : 393,178.50 = 393,178.50 : x
2. Step 2: Convert to fraction form
   262,215/393,178.50 = 393,178.50/x
3. Step 3: Cross multiply
   262,215x = 393,178.50 × 393,178.50
4. Step 4: Simplify right side
   262,215x = 154,589,332,862.25
5. Step 5: Solve for x
   x = 154,589,332,862.25/262,215
6. Step 6: Final answer
   x = 589,551.83