Finding the Third Proportional to 352,782 and 768,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   352,782 : 768,499.50 = 768,499.50 : x
2. Step 2: Convert to fraction form
   352,782/768,499.50 = 768,499.50/x
3. Step 3: Cross multiply
   352,782x = 768,499.50 × 768,499.50
4. Step 4: Simplify right side
   352,782x = 590,591,481,500.25
5. Step 5: Solve for x
   x = 590,591,481,500.25/352,782
6. Step 6: Final answer
   x = 1,674,097.55