Finding the Third Proportional to 123,466 and 184,386

Step by Step Solution

1. Step 1: Write the proportion equation
   123,466 : 184,386 = 184,386 : x
2. Step 2: Convert to fraction form
   123,466/184,386 = 184,386/x
3. Step 3: Cross multiply
   123,466x = 184,386 × 184,386
4. Step 4: Simplify right side
   123,466x = 33,998,196,996
5. Step 5: Solve for x
   x = 33,998,196,996/123,466
6. Step 6: Final answer
   x = 275,364.85