Finding the Third Proportional to 123,363 and 184,549

Step by Step Solution

1. Step 1: Write the proportion equation
   123,363 : 184,549 = 184,549 : x
2. Step 2: Convert to fraction form
   123,363/184,549 = 184,549/x
3. Step 3: Cross multiply
   123,363x = 184,549 × 184,549
4. Step 4: Simplify right side
   123,363x = 34,058,333,401
5. Step 5: Solve for x
   x = 34,058,333,401/123,363
6. Step 6: Final answer
   x = 276,082.24