Finding the Third Proportional to 122,804 and 184,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,804 : 184,661.50 = 184,661.50 : x
2. Step 2: Convert to fraction form
   122,804/184,661.50 = 184,661.50/x
3. Step 3: Cross multiply
   122,804x = 184,661.50 × 184,661.50
4. Step 4: Simplify right side
   122,804x = 34,099,869,582.25
5. Step 5: Solve for x
   x = 34,099,869,582.25/122,804
6. Step 6: Final answer
   x = 277,677.19