Finding the Third Proportional to 221,923.50 and 314,016

Step by Step Solution

1. Step 1: Write the proportion equation
   221,923.50 : 314,016 = 314,016 : x
2. Step 2: Convert to fraction form
   221,923.50/314,016 = 314,016/x
3. Step 3: Cross multiply
   221,923.50x = 314,016 × 314,016
4. Step 4: Simplify right side
   221,923.50x = 98,606,048,256
5. Step 5: Solve for x
   x = 98,606,048,256/221,923.50
6. Step 6: Final answer
   x = 444,324.50