Finding the Third Proportional to 91,777 and 188,496

Step by Step Solution

1. Step 1: Write the proportion equation
   91,777 : 188,496 = 188,496 : x
2. Step 2: Convert to fraction form
   91,777/188,496 = 188,496/x
3. Step 3: Cross multiply
   91,777x = 188,496 × 188,496
4. Step 4: Simplify right side
   91,777x = 35,530,742,016
5. Step 5: Solve for x
   x = 35,530,742,016/91,777
6. Step 6: Final answer
   x = 387,142.12