Finding the Third Proportional to 120,077 and 188,357

Step by Step Solution

1. Step 1: Write the proportion equation
   120,077 : 188,357 = 188,357 : x
2. Step 2: Convert to fraction form
   120,077/188,357 = 188,357/x
3. Step 3: Cross multiply
   120,077x = 188,357 × 188,357
4. Step 4: Simplify right side
   120,077x = 35,478,359,449
5. Step 5: Solve for x
   x = 35,478,359,449/120,077
6. Step 6: Final answer
   x = 295,463.41