Finding the Third Proportional to 208,008 and 321,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,008 : 321,367.50 = 321,367.50 : x
2. Step 2: Convert to fraction form
   208,008/321,367.50 = 321,367.50/x
3. Step 3: Cross multiply
   208,008x = 321,367.50 × 321,367.50
4. Step 4: Simplify right side
   208,008x = 103,277,070,056.25
5. Step 5: Solve for x
   x = 103,277,070,056.25/208,008
6. Step 6: Final answer
   x = 496,505.28