Finding the Third Proportional to 122,502 and 184,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,502 : 184,465.50 = 184,465.50 : x
2. Step 2: Convert to fraction form
   122,502/184,465.50 = 184,465.50/x
3. Step 3: Cross multiply
   122,502x = 184,465.50 × 184,465.50
4. Step 4: Simplify right side
   122,502x = 34,027,520,690.25
5. Step 5: Solve for x
   x = 34,027,520,690.25/122,502
6. Step 6: Final answer
   x = 277,771.14