Finding the Third Proportional to 122,203.50 and 184,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,203.50 : 184,084.50 = 184,084.50 : x
2. Step 2: Convert to fraction form
   122,203.50/184,084.50 = 184,084.50/x
3. Step 3: Cross multiply
   122,203.50x = 184,084.50 × 184,084.50
4. Step 4: Simplify right side
   122,203.50x = 33,887,103,140.25
5. Step 5: Solve for x
   x = 33,887,103,140.25/122,203.50
6. Step 6: Final answer
   x = 277,300.59