Finding the Third Proportional to 122,580 and 184,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,580 : 184,909.50 = 184,909.50 : x
2. Step 2: Convert to fraction form
   122,580/184,909.50 = 184,909.50/x
3. Step 3: Cross multiply
   122,580x = 184,909.50 × 184,909.50
4. Step 4: Simplify right side
   122,580x = 34,191,523,190.25
5. Step 5: Solve for x
   x = 34,191,523,190.25/122,580
6. Step 6: Final answer
   x = 278,932.32