Finding the Third Proportional to 188,820 and 386,388

Step by Step Solution

1. Step 1: Write the proportion equation
   188,820 : 386,388 = 386,388 : x
2. Step 2: Convert to fraction form
   188,820/386,388 = 386,388/x
3. Step 3: Cross multiply
   188,820x = 386,388 × 386,388
4. Step 4: Simplify right side
   188,820x = 149,295,686,544
5. Step 5: Solve for x
   x = 149,295,686,544/188,820
6. Step 6: Final answer
   x = 790,677.29