Finding the Third Proportional to 213,760 and 300,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,760 : 300,649.50 = 300,649.50 : x
2. Step 2: Convert to fraction form
   213,760/300,649.50 = 300,649.50/x
3. Step 3: Cross multiply
   213,760x = 300,649.50 × 300,649.50
4. Step 4: Simplify right side
   213,760x = 90,390,121,850.25
5. Step 5: Solve for x
   x = 90,390,121,850.25/213,760
6. Step 6: Final answer
   x = 422,857.98