Finding the Third Proportional to 499,339.69 and 772,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   499,339.69 : 772,314.75 = 772,314.75 : x
2. Step 2: Convert to fraction form
   499,339.69/772,314.75 = 772,314.75/x
3. Step 3: Cross multiply
   499,339.69x = 772,314.75 × 772,314.75
4. Step 4: Simplify right side
   499,339.69x = 596,470,073,067.56
5. Step 5: Solve for x
   x = 596,470,073,067.56/499,339.69
6. Step 6: Final answer
   x = 1,194,517.66