Finding the Third Proportional to 316,388.25 and 682,499.25

Step by Step Solution

1. Step 1: Write the proportion equation
   316,388.25 : 682,499.25 = 682,499.25 : x
2. Step 2: Convert to fraction form
   316,388.25/682,499.25 = 682,499.25/x
3. Step 3: Cross multiply
   316,388.25x = 682,499.25 × 682,499.25
4. Step 4: Simplify right side
   316,388.25x = 465,805,226,250.56
5. Step 5: Solve for x
   x = 465,805,226,250.56/316,388.25
6. Step 6: Final answer
   x = 1,472,258.30