Finding the Third Proportional to 319,264 and 686,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,264 : 686,960.50 = 686,960.50 : x
2. Step 2: Convert to fraction form
   319,264/686,960.50 = 686,960.50/x
3. Step 3: Cross multiply
   319,264x = 686,960.50 × 686,960.50
4. Step 4: Simplify right side
   319,264x = 471,914,728,560.25
5. Step 5: Solve for x
   x = 471,914,728,560.25/319,264
6. Step 6: Final answer
   x = 1,478,133.23