Finding the Third Proportional to 287,983.50 and 405,366

Step by Step Solution

1. Step 1: Write the proportion equation
   287,983.50 : 405,366 = 405,366 : x
2. Step 2: Convert to fraction form
   287,983.50/405,366 = 405,366/x
3. Step 3: Cross multiply
   287,983.50x = 405,366 × 405,366
4. Step 4: Simplify right side
   287,983.50x = 164,321,593,956
5. Step 5: Solve for x
   x = 164,321,593,956/287,983.50
6. Step 6: Final answer
   x = 570,593.78