Finding the Third Proportional to 338,109 and 523,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,109 : 523,258.50 = 523,258.50 : x
2. Step 2: Convert to fraction form
   338,109/523,258.50 = 523,258.50/x
3. Step 3: Cross multiply
   338,109x = 523,258.50 × 523,258.50
4. Step 4: Simplify right side
   338,109x = 273,799,457,822.25
5. Step 5: Solve for x
   x = 273,799,457,822.25/338,109
6. Step 6: Final answer
   x = 809,796.42