Finding the Third Proportional to 123,817.50 and 204,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,817.50 : 204,859.50 = 204,859.50 : x
2. Step 2: Convert to fraction form
   123,817.50/204,859.50 = 204,859.50/x
3. Step 3: Cross multiply
   123,817.50x = 204,859.50 × 204,859.50
4. Step 4: Simplify right side
   123,817.50x = 41,967,414,740.25
5. Step 5: Solve for x
   x = 41,967,414,740.25/123,817.50
6. Step 6: Final answer
   x = 338,945.74