Finding the Third Proportional to 123,024 and 184,536

Step by Step Solution

1. Step 1: Write the proportion equation
   123,024 : 184,536 = 184,536 : x
2. Step 2: Convert to fraction form
   123,024/184,536 = 184,536/x
3. Step 3: Cross multiply
   123,024x = 184,536 × 184,536
4. Step 4: Simplify right side
   123,024x = 34,053,535,296
5. Step 5: Solve for x
   x = 34,053,535,296/123,024
6. Step 6: Final answer
   x = 276,804