Finding the Third Proportional to 123,163.50 and 185,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,163.50 : 185,626.50 = 185,626.50 : x
2. Step 2: Convert to fraction form
   123,163.50/185,626.50 = 185,626.50/x
3. Step 3: Cross multiply
   123,163.50x = 185,626.50 × 185,626.50
4. Step 4: Simplify right side
   123,163.50x = 34,457,197,502.25
5. Step 5: Solve for x
   x = 34,457,197,502.25/123,163.50
6. Step 6: Final answer
   x = 279,767.93