Finding the Third Proportional to 326,826 and 772,748

Step by Step Solution

1. Step 1: Write the proportion equation
   326,826 : 772,748 = 772,748 : x
2. Step 2: Convert to fraction form
   326,826/772,748 = 772,748/x
3. Step 3: Cross multiply
   326,826x = 772,748 × 772,748
4. Step 4: Simplify right side
   326,826x = 597,139,471,504
5. Step 5: Solve for x
   x = 597,139,471,504/326,826
6. Step 6: Final answer
   x = 1,827,086.80