Finding the Third Proportional to 268,714 and 419,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   268,714 : 419,410.50 = 419,410.50 : x
2. Step 2: Convert to fraction form
   268,714/419,410.50 = 419,410.50/x
3. Step 3: Cross multiply
   268,714x = 419,410.50 × 419,410.50
4. Step 4: Simplify right side
   268,714x = 175,905,167,510.25
5. Step 5: Solve for x
   x = 175,905,167,510.25/268,714
6. Step 6: Final answer
   x = 654,618.54