Finding the Third Proportional to 225,261 and 337,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,261 : 337,222.50 = 337,222.50 : x
2. Step 2: Convert to fraction form
   225,261/337,222.50 = 337,222.50/x
3. Step 3: Cross multiply
   225,261x = 337,222.50 × 337,222.50
4. Step 4: Simplify right side
   225,261x = 113,719,014,506.25
5. Step 5: Solve for x
   x = 113,719,014,506.25/225,261
6. Step 6: Final answer
   x = 504,832.24