Finding the Third Proportional to 419,049 and 598,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,049 : 598,495.50 = 598,495.50 : x
2. Step 2: Convert to fraction form
   419,049/598,495.50 = 598,495.50/x
3. Step 3: Cross multiply
   419,049x = 598,495.50 × 598,495.50
4. Step 4: Simplify right side
   419,049x = 358,196,863,520.25
5. Step 5: Solve for x
   x = 358,196,863,520.25/419,049
6. Step 6: Final answer
   x = 854,785.15