Finding the Third Proportional to 123,580.69 and 185,371.03

Step by Step Solution

1. Step 1: Write the proportion equation
   123,580.69 : 185,371.03 = 185,371.03 : x
2. Step 2: Convert to fraction form
   123,580.69/185,371.03 = 185,371.03/x
3. Step 3: Cross multiply
   123,580.69x = 185,371.03 × 185,371.03
4. Step 4: Simplify right side
   123,580.69x = 34,362,419,226.69
5. Step 5: Solve for x
   x = 34,362,419,226.69/123,580.69
6. Step 6: Final answer
   x = 278,056.55