Finding the Third Proportional to 319,982 and 687,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,982 : 687,449.50 = 687,449.50 : x
2. Step 2: Convert to fraction form
   319,982/687,449.50 = 687,449.50/x
3. Step 3: Cross multiply
   319,982x = 687,449.50 × 687,449.50
4. Step 4: Simplify right side
   319,982x = 472,586,815,050.25
5. Step 5: Solve for x
   x = 472,586,815,050.25/319,982
6. Step 6: Final answer
   x = 1,476,916.87