Finding the Third Proportional to 363,540 and 776,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   363,540 : 776,566.50 = 776,566.50 : x
2. Step 2: Convert to fraction form
   363,540/776,566.50 = 776,566.50/x
3. Step 3: Cross multiply
   363,540x = 776,566.50 × 776,566.50
4. Step 4: Simplify right side
   363,540x = 603,055,528,922.25
5. Step 5: Solve for x
   x = 603,055,528,922.25/363,540
6. Step 6: Final answer
   x = 1,658,842.30