Finding the Third Proportional to 120,126 and 188,442

Step by Step Solution

1. Step 1: Write the proportion equation
   120,126 : 188,442 = 188,442 : x
2. Step 2: Convert to fraction form
   120,126/188,442 = 188,442/x
3. Step 3: Cross multiply
   120,126x = 188,442 × 188,442
4. Step 4: Simplify right side
   120,126x = 35,510,387,364
5. Step 5: Solve for x
   x = 35,510,387,364/120,126
6. Step 6: Final answer
   x = 295,609.50