Finding the Third Proportional to 301,855 and 408,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,855 : 408,495.50 = 408,495.50 : x
2. Step 2: Convert to fraction form
   301,855/408,495.50 = 408,495.50/x
3. Step 3: Cross multiply
   301,855x = 408,495.50 × 408,495.50
4. Step 4: Simplify right side
   301,855x = 166,868,573,520.25
5. Step 5: Solve for x
   x = 166,868,573,520.25/301,855
6. Step 6: Final answer
   x = 552,810.37