Finding the Third Proportional to 189,540 and 285,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,540 : 285,079.50 = 285,079.50 : x
2. Step 2: Convert to fraction form
   189,540/285,079.50 = 285,079.50/x
3. Step 3: Cross multiply
   189,540x = 285,079.50 × 285,079.50
4. Step 4: Simplify right side
   189,540x = 81,270,321,320.25
5. Step 5: Solve for x
   x = 81,270,321,320.25/189,540
6. Step 6: Final answer
   x = 428,776.62