Finding the Third Proportional to 355,822.50 and 550,356

Step by Step Solution

1. Step 1: Write the proportion equation
   355,822.50 : 550,356 = 550,356 : x
2. Step 2: Convert to fraction form
   355,822.50/550,356 = 550,356/x
3. Step 3: Cross multiply
   355,822.50x = 550,356 × 550,356
4. Step 4: Simplify right side
   355,822.50x = 302,891,726,736
5. Step 5: Solve for x
   x = 302,891,726,736/355,822.50
6. Step 6: Final answer
   x = 851,243.88