Finding the Third Proportional to 225,414 and 337,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,414 : 337,414.50 = 337,414.50 : x
2. Step 2: Convert to fraction form
   225,414/337,414.50 = 337,414.50/x
3. Step 3: Cross multiply
   225,414x = 337,414.50 × 337,414.50
4. Step 4: Simplify right side
   225,414x = 113,848,544,810.25
5. Step 5: Solve for x
   x = 113,848,544,810.25/225,414
6. Step 6: Final answer
   x = 505,064.21