Finding the Third Proportional to 120,122 and 188,434

Step by Step Solution

1. Step 1: Write the proportion equation
   120,122 : 188,434 = 188,434 : x
2. Step 2: Convert to fraction form
   120,122/188,434 = 188,434/x
3. Step 3: Cross multiply
   120,122x = 188,434 × 188,434
4. Step 4: Simplify right side
   120,122x = 35,507,372,356
5. Step 5: Solve for x
   x = 35,507,372,356/120,122
6. Step 6: Final answer
   x = 295,594.25