Finding the Third Proportional to 120,074 and 188,354

Step by Step Solution

1. Step 1: Write the proportion equation
   120,074 : 188,354 = 188,354 : x
2. Step 2: Convert to fraction form
   120,074/188,354 = 188,354/x
3. Step 3: Cross multiply
   120,074x = 188,354 × 188,354
4. Step 4: Simplify right side
   120,074x = 35,477,229,316
5. Step 5: Solve for x
   x = 35,477,229,316/120,074
6. Step 6: Final answer
   x = 295,461.38