Finding the Third Proportional to 120,168.14 and 186,814.69

Step by Step Solution

1. Step 1: Write the proportion equation
   120,168.14 : 186,814.69 = 186,814.69 : x
2. Step 2: Convert to fraction form
   120,168.14/186,814.69 = 186,814.69/x
3. Step 3: Cross multiply
   120,168.14x = 186,814.69 × 186,814.69
4. Step 4: Simplify right side
   120,168.14x = 34,899,727,465.72
5. Step 5: Solve for x
   x = 34,899,727,465.72/120,168.14
6. Step 6: Final answer
   x = 290,424.13