Finding the Third Proportional to 119,496 and 185,022

Step by Step Solution

1. Step 1: Write the proportion equation
   119,496 : 185,022 = 185,022 : x
2. Step 2: Convert to fraction form
   119,496/185,022 = 185,022/x
3. Step 3: Cross multiply
   119,496x = 185,022 × 185,022
4. Step 4: Simplify right side
   119,496x = 34,233,140,484
5. Step 5: Solve for x
   x = 34,233,140,484/119,496
6. Step 6: Final answer
   x = 286,479.38