Finding the Third Proportional to 119,634 and 185,105

Step by Step Solution

1. Step 1: Write the proportion equation
   119,634 : 185,105 = 185,105 : x
2. Step 2: Convert to fraction form
   119,634/185,105 = 185,105/x
3. Step 3: Cross multiply
   119,634x = 185,105 × 185,105
4. Step 4: Simplify right side
   119,634x = 34,263,861,025
5. Step 5: Solve for x
   x = 34,263,861,025/119,634
6. Step 6: Final answer
   x = 286,405.71