Finding the Third Proportional to 122,502.50 and 184,466

Step by Step Solution

1. Step 1: Write the proportion equation
   122,502.50 : 184,466 = 184,466 : x
2. Step 2: Convert to fraction form
   122,502.50/184,466 = 184,466/x
3. Step 3: Cross multiply
   122,502.50x = 184,466 × 184,466
4. Step 4: Simplify right side
   122,502.50x = 34,027,705,156
5. Step 5: Solve for x
   x = 34,027,705,156/122,502.50
6. Step 6: Final answer
   x = 277,771.52