Finding the Third Proportional to 202,968 and 288,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,968 : 288,490.50 = 288,490.50 : x
2. Step 2: Convert to fraction form
   202,968/288,490.50 = 288,490.50/x
3. Step 3: Cross multiply
   202,968x = 288,490.50 × 288,490.50
4. Step 4: Simplify right side
   202,968x = 83,226,768,590.25
5. Step 5: Solve for x
   x = 83,226,768,590.25/202,968
6. Step 6: Final answer
   x = 410,048.72