Finding the Third Proportional to 123,340.50 and 184,515.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,340.50 : 184,515.75 = 184,515.75 : x
2. Step 2: Convert to fraction form
   123,340.50/184,515.75 = 184,515.75/x
3. Step 3: Cross multiply
   123,340.50x = 184,515.75 × 184,515.75
4. Step 4: Simplify right side
   123,340.50x = 34,046,061,998.06
5. Step 5: Solve for x
   x = 34,046,061,998.06/123,340.50
6. Step 6: Final answer
   x = 276,033.11