Finding the Third Proportional to 301,884 and 408,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,884 : 408,538.50 = 408,538.50 : x
2. Step 2: Convert to fraction form
   301,884/408,538.50 = 408,538.50/x
3. Step 3: Cross multiply
   301,884x = 408,538.50 × 408,538.50
4. Step 4: Simplify right side
   301,884x = 166,903,705,982.25
5. Step 5: Solve for x
   x = 166,903,705,982.25/301,884
6. Step 6: Final answer
   x = 552,873.64