Finding the Third Proportional to 315,490 and 684,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,490 : 684,493.50 = 684,493.50 : x
2. Step 2: Convert to fraction form
   315,490/684,493.50 = 684,493.50/x
3. Step 3: Cross multiply
   315,490x = 684,493.50 × 684,493.50
4. Step 4: Simplify right side
   315,490x = 468,531,351,542.25
5. Step 5: Solve for x
   x = 468,531,351,542.25/315,490
6. Step 6: Final answer
   x = 1,485,090.97