Finding the Third Proportional to 123,362.75 and 185,955.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,362.75 : 185,955.25 = 185,955.25 : x
2. Step 2: Convert to fraction form
   123,362.75/185,955.25 = 185,955.25/x
3. Step 3: Cross multiply
   123,362.75x = 185,955.25 × 185,955.25
4. Step 4: Simplify right side
   123,362.75x = 34,579,355,002.56
5. Step 5: Solve for x
   x = 34,579,355,002.56/123,362.75
6. Step 6: Final answer
   x = 280,306.29