Finding the Third Proportional to 354,727.50 and 550,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,727.50 : 550,780.50 = 550,780.50 : x
2. Step 2: Convert to fraction form
   354,727.50/550,780.50 = 550,780.50/x
3. Step 3: Cross multiply
   354,727.50x = 550,780.50 × 550,780.50
4. Step 4: Simplify right side
   354,727.50x = 303,359,159,180.25
5. Step 5: Solve for x
   x = 303,359,159,180.25/354,727.50
6. Step 6: Final answer
   x = 855,189.29