Finding the Third Proportional to 122,970 and 184,456

Step by Step Solution

1. Step 1: Write the proportion equation
   122,970 : 184,456 = 184,456 : x
2. Step 2: Convert to fraction form
   122,970/184,456 = 184,456/x
3. Step 3: Cross multiply
   122,970x = 184,456 × 184,456
4. Step 4: Simplify right side
   122,970x = 34,024,015,936
5. Step 5: Solve for x
   x = 34,024,015,936/122,970
6. Step 6: Final answer
   x = 276,685.50