Finding the Third Proportional to 119,606 and 185,078

Step by Step Solution

1. Step 1: Write the proportion equation
   119,606 : 185,078 = 185,078 : x
2. Step 2: Convert to fraction form
   119,606/185,078 = 185,078/x
3. Step 3: Cross multiply
   119,606x = 185,078 × 185,078
4. Step 4: Simplify right side
   119,606x = 34,253,866,084
5. Step 5: Solve for x
   x = 34,253,866,084/119,606
6. Step 6: Final answer
   x = 286,389.20