Finding the Third Proportional to 122,025 and 184,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,025 : 184,540.50 = 184,540.50 : x
2. Step 2: Convert to fraction form
   122,025/184,540.50 = 184,540.50/x
3. Step 3: Cross multiply
   122,025x = 184,540.50 × 184,540.50
4. Step 4: Simplify right side
   122,025x = 34,055,196,140.25
5. Step 5: Solve for x
   x = 34,055,196,140.25/122,025
6. Step 6: Final answer
   x = 279,083.76