Finding the Third Proportional to 122,583 and 184,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,583 : 184,603.50 = 184,603.50 : x
2. Step 2: Convert to fraction form
   122,583/184,603.50 = 184,603.50/x
3. Step 3: Cross multiply
   122,583x = 184,603.50 × 184,603.50
4. Step 4: Simplify right side
   122,583x = 34,078,452,212.25
5. Step 5: Solve for x
   x = 34,078,452,212.25/122,583
6. Step 6: Final answer
   x = 278,003.09