Finding the Third Proportional to 120,200 and 188,552

Step by Step Solution

1. Step 1: Write the proportion equation
   120,200 : 188,552 = 188,552 : x
2. Step 2: Convert to fraction form
   120,200/188,552 = 188,552/x
3. Step 3: Cross multiply
   120,200x = 188,552 × 188,552
4. Step 4: Simplify right side
   120,200x = 35,551,856,704
5. Step 5: Solve for x
   x = 35,551,856,704/120,200
6. Step 6: Final answer
   x = 295,772.52