Finding the Third Proportional to 123,327.75 and 184,496.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,327.75 : 184,496.25 = 184,496.25 : x
2. Step 2: Convert to fraction form
   123,327.75/184,496.25 = 184,496.25/x
3. Step 3: Cross multiply
   123,327.75x = 184,496.25 × 184,496.25
4. Step 4: Simplify right side
   123,327.75x = 34,038,866,264.06
5. Step 5: Solve for x
   x = 34,038,866,264.06/123,327.75
6. Step 6: Final answer
   x = 276,003.30