Finding the Third Proportional to 120,208 and 188,564

Step by Step Solution

1. Step 1: Write the proportion equation
   120,208 : 188,564 = 188,564 : x
2. Step 2: Convert to fraction form
   120,208/188,564 = 188,564/x
3. Step 3: Cross multiply
   120,208x = 188,564 × 188,564
4. Step 4: Simplify right side
   120,208x = 35,556,382,096
5. Step 5: Solve for x
   x = 35,556,382,096/120,208
6. Step 6: Final answer
   x = 295,790.48