Finding the Third Proportional to 123,287.75 and 185,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,287.75 : 185,640.50 = 185,640.50 : x
2. Step 2: Convert to fraction form
   123,287.75/185,640.50 = 185,640.50/x
3. Step 3: Cross multiply
   123,287.75x = 185,640.50 × 185,640.50
4. Step 4: Simplify right side
   123,287.75x = 34,462,395,240.25
5. Step 5: Solve for x
   x = 34,462,395,240.25/123,287.75
6. Step 6: Final answer
   x = 279,528.14