Finding the Third Proportional to 123,957 and 180,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,957 : 180,103.50 = 180,103.50 : x
2. Step 2: Convert to fraction form
   123,957/180,103.50 = 180,103.50/x
3. Step 3: Cross multiply
   123,957x = 180,103.50 × 180,103.50
4. Step 4: Simplify right side
   123,957x = 32,437,270,712.25
5. Step 5: Solve for x
   x = 32,437,270,712.25/123,957
6. Step 6: Final answer
   x = 261,681.64