Finding the Third Proportional to 338,868 and 705,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   338,868 : 705,827.25 = 705,827.25 : x
2. Step 2: Convert to fraction form
   338,868/705,827.25 = 705,827.25/x
3. Step 3: Cross multiply
   338,868x = 705,827.25 × 705,827.25
4. Step 4: Simplify right side
   338,868x = 498,192,106,842.56
5. Step 5: Solve for x
   x = 498,192,106,842.56/338,868
6. Step 6: Final answer
   x = 1,470,165.69