Finding the Third Proportional to 221,981.50 and 314,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,981.50 : 314,103.50 = 314,103.50 : x
2. Step 2: Convert to fraction form
   221,981.50/314,103.50 = 314,103.50/x
3. Step 3: Cross multiply
   221,981.50x = 314,103.50 × 314,103.50
4. Step 4: Simplify right side
   221,981.50x = 98,661,008,712.25
5. Step 5: Solve for x
   x = 98,661,008,712.25/221,981.50
6. Step 6: Final answer
   x = 444,456.00