Finding the Third Proportional to 123,307.75 and 184,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,307.75 : 184,978.75 = 184,978.75 : x
2. Step 2: Convert to fraction form
   123,307.75/184,978.75 = 184,978.75/x
3. Step 3: Cross multiply
   123,307.75x = 184,978.75 × 184,978.75
4. Step 4: Simplify right side
   123,307.75x = 34,217,137,951.56
5. Step 5: Solve for x
   x = 34,217,137,951.56/123,307.75
6. Step 6: Final answer
   x = 277,493.81