Finding the Third Proportional to 202,086 and 280,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,086 : 280,981.50 = 280,981.50 : x
2. Step 2: Convert to fraction form
   202,086/280,981.50 = 280,981.50/x
3. Step 3: Cross multiply
   202,086x = 280,981.50 × 280,981.50
4. Step 4: Simplify right side
   202,086x = 78,950,603,342.25
5. Step 5: Solve for x
   x = 78,950,603,342.25/202,086
6. Step 6: Final answer
   x = 390,678.24