Finding the Third Proportional to 352,647 and 772,899.75

Step by Step Solution

1. Step 1: Write the proportion equation
   352,647 : 772,899.75 = 772,899.75 : x
2. Step 2: Convert to fraction form
   352,647/772,899.75 = 772,899.75/x
3. Step 3: Cross multiply
   352,647x = 772,899.75 × 772,899.75
4. Step 4: Simplify right side
   352,647x = 597,374,023,550.06
5. Step 5: Solve for x
   x = 597,374,023,550.06/352,647
6. Step 6: Final answer
   x = 1,693,971.66