Finding the Third Proportional to 225,849 and 301,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,849 : 301,096.50 = 301,096.50 : x
2. Step 2: Convert to fraction form
   225,849/301,096.50 = 301,096.50/x
3. Step 3: Cross multiply
   225,849x = 301,096.50 × 301,096.50
4. Step 4: Simplify right side
   225,849x = 90,659,102,312.25
5. Step 5: Solve for x
   x = 90,659,102,312.25/225,849
6. Step 6: Final answer
   x = 401,414.67