Finding the Third Proportional to 200,733 and 288,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,733 : 288,523.50 = 288,523.50 : x
2. Step 2: Convert to fraction form
   200,733/288,523.50 = 288,523.50/x
3. Step 3: Cross multiply
   200,733x = 288,523.50 × 288,523.50
4. Step 4: Simplify right side
   200,733x = 83,245,810,052.25
5. Step 5: Solve for x
   x = 83,245,810,052.25/200,733
6. Step 6: Final answer
   x = 414,709.14