Finding the Third Proportional to 355,914 and 772,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   355,914 : 772,566.75 = 772,566.75 : x
2. Step 2: Convert to fraction form
   355,914/772,566.75 = 772,566.75/x
3. Step 3: Cross multiply
   355,914x = 772,566.75 × 772,566.75
4. Step 4: Simplify right side
   355,914x = 596,859,383,205.56
5. Step 5: Solve for x
   x = 596,859,383,205.56/355,914
6. Step 6: Final answer
   x = 1,676,976.41