Finding the Third Proportional to 319,981 and 687,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,981 : 687,447.50 = 687,447.50 : x
2. Step 2: Convert to fraction form
   319,981/687,447.50 = 687,447.50/x
3. Step 3: Cross multiply
   319,981x = 687,447.50 × 687,447.50
4. Step 4: Simplify right side
   319,981x = 472,584,065,256.25
5. Step 5: Solve for x
   x = 472,584,065,256.25/319,981
6. Step 6: Final answer
   x = 1,476,912.90