Finding the Third Proportional to 301,857 and 408,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,857 : 408,498.50 = 408,498.50 : x
2. Step 2: Convert to fraction form
   301,857/408,498.50 = 408,498.50/x
3. Step 3: Cross multiply
   301,857x = 408,498.50 × 408,498.50
4. Step 4: Simplify right side
   301,857x = 166,871,024,502.25
5. Step 5: Solve for x
   x = 166,871,024,502.25/301,857
6. Step 6: Final answer
   x = 552,814.82