Finding the Third Proportional to 301,836 and 408,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,836 : 408,466.50 = 408,466.50 : x
2. Step 2: Convert to fraction form
   301,836/408,466.50 = 408,466.50/x
3. Step 3: Cross multiply
   301,836x = 408,466.50 × 408,466.50
4. Step 4: Simplify right side
   301,836x = 166,844,881,622.25
5. Step 5: Solve for x
   x = 166,844,881,622.25/301,836
6. Step 6: Final answer
   x = 552,766.67