Finding the Third Proportional to 123,279.75 and 185,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,279.75 : 185,629.50 = 185,629.50 : x
2. Step 2: Convert to fraction form
   123,279.75/185,629.50 = 185,629.50/x
3. Step 3: Cross multiply
   123,279.75x = 185,629.50 × 185,629.50
4. Step 4: Simplify right side
   123,279.75x = 34,458,311,270.25
5. Step 5: Solve for x
   x = 34,458,311,270.25/123,279.75
6. Step 6: Final answer
   x = 279,513.15