Finding the Third Proportional to 316,794 and 689,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   316,794 : 689,356.50 = 689,356.50 : x
2. Step 2: Convert to fraction form
   316,794/689,356.50 = 689,356.50/x
3. Step 3: Cross multiply
   316,794x = 689,356.50 × 689,356.50
4. Step 4: Simplify right side
   316,794x = 475,212,384,092.25
5. Step 5: Solve for x
   x = 475,212,384,092.25/316,794
6. Step 6: Final answer
   x = 1,500,067.50