Finding the Third Proportional to 123,307.88 and 184,978.97

Step by Step Solution

1. Step 1: Write the proportion equation
   123,307.88 : 184,978.97 = 184,978.97 : x
2. Step 2: Convert to fraction form
   123,307.88/184,978.97 = 184,978.97/x
3. Step 3: Cross multiply
   123,307.88x = 184,978.97 × 184,978.97
4. Step 4: Simplify right side
   123,307.88x = 34,217,218,879.81
5. Step 5: Solve for x
   x = 34,217,218,879.81/123,307.88
6. Step 6: Final answer
   x = 277,494.19