Finding the Third Proportional to 119,061 and 184,509

Step by Step Solution

1. Step 1: Write the proportion equation
   119,061 : 184,509 = 184,509 : x
2. Step 2: Convert to fraction form
   119,061/184,509 = 184,509/x
3. Step 3: Cross multiply
   119,061x = 184,509 × 184,509
4. Step 4: Simplify right side
   119,061x = 34,043,571,081
5. Step 5: Solve for x
   x = 34,043,571,081/119,061
6. Step 6: Final answer
   x = 285,933.86