Finding the Third Proportional to 221,925 and 314,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,925 : 314,020.50 = 314,020.50 : x
2. Step 2: Convert to fraction form
   221,925/314,020.50 = 314,020.50/x
3. Step 3: Cross multiply
   221,925x = 314,020.50 × 314,020.50
4. Step 4: Simplify right side
   221,925x = 98,608,874,420.25
5. Step 5: Solve for x
   x = 98,608,874,420.25/221,925
6. Step 6: Final answer
   x = 444,334.23