Finding the Third Proportional to 123,099 and 184,770

Step by Step Solution

1. Step 1: Write the proportion equation
   123,099 : 184,770 = 184,770 : x
2. Step 2: Convert to fraction form
   123,099/184,770 = 184,770/x
3. Step 3: Cross multiply
   123,099x = 184,770 × 184,770
4. Step 4: Simplify right side
   123,099x = 34,139,952,900
5. Step 5: Solve for x
   x = 34,139,952,900/123,099
6. Step 6: Final answer
   x = 277,337.37