Finding the Third Proportional to 123,415.50 and 184,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,415.50 : 184,315.50 = 184,315.50 : x
2. Step 2: Convert to fraction form
   123,415.50/184,315.50 = 184,315.50/x
3. Step 3: Cross multiply
   123,415.50x = 184,315.50 × 184,315.50
4. Step 4: Simplify right side
   123,415.50x = 33,972,203,540.25
5. Step 5: Solve for x
   x = 33,972,203,540.25/123,415.50
6. Step 6: Final answer
   x = 275,266.91