Finding the Third Proportional to 354,738 and 550,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,738 : 550,789.50 = 550,789.50 : x
2. Step 2: Convert to fraction form
   354,738/550,789.50 = 550,789.50/x
3. Step 3: Cross multiply
   354,738x = 550,789.50 × 550,789.50
4. Step 4: Simplify right side
   354,738x = 303,369,073,310.25
5. Step 5: Solve for x
   x = 303,369,073,310.25/354,738
6. Step 6: Final answer
   x = 855,191.93