Finding the Third Proportional to 221,916 and 314,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,916 : 314,005.50 = 314,005.50 : x
2. Step 2: Convert to fraction form
   221,916/314,005.50 = 314,005.50/x
3. Step 3: Cross multiply
   221,916x = 314,005.50 × 314,005.50
4. Step 4: Simplify right side
   221,916x = 98,599,454,030.25
5. Step 5: Solve for x
   x = 98,599,454,030.25/221,916
6. Step 6: Final answer
   x = 444,309.80