Finding the Third Proportional to 214,674 and 315,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,674 : 315,442.50 = 315,442.50 : x
2. Step 2: Convert to fraction form
   214,674/315,442.50 = 315,442.50/x
3. Step 3: Cross multiply
   214,674x = 315,442.50 × 315,442.50
4. Step 4: Simplify right side
   214,674x = 99,503,970,806.25
5. Step 5: Solve for x
   x = 99,503,970,806.25/214,674
6. Step 6: Final answer
   x = 463,511.98