Finding the Third Proportional to 140,542 and 184,521

Step by Step Solution

1. Step 1: Write the proportion equation
   140,542 : 184,521 = 184,521 : x
2. Step 2: Convert to fraction form
   140,542/184,521 = 184,521/x
3. Step 3: Cross multiply
   140,542x = 184,521 × 184,521
4. Step 4: Simplify right side
   140,542x = 34,047,999,441
5. Step 5: Solve for x
   x = 34,047,999,441/140,542
6. Step 6: Final answer
   x = 242,262.10