Finding the Third Proportional to 315,223.50 and 684,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,223.50 : 684,031.50 = 684,031.50 : x
2. Step 2: Convert to fraction form
   315,223.50/684,031.50 = 684,031.50/x
3. Step 3: Cross multiply
   315,223.50x = 684,031.50 × 684,031.50
4. Step 4: Simplify right side
   315,223.50x = 467,899,092,992.25
5. Step 5: Solve for x
   x = 467,899,092,992.25/315,223.50
6. Step 6: Final answer
   x = 1,484,340.77