Finding the Third Proportional to 91,739 and 186,059

Step by Step Solution

1. Step 1: Write the proportion equation
   91,739 : 186,059 = 186,059 : x
2. Step 2: Convert to fraction form
   91,739/186,059 = 186,059/x
3. Step 3: Cross multiply
   91,739x = 186,059 × 186,059
4. Step 4: Simplify right side
   91,739x = 34,617,951,481
5. Step 5: Solve for x
   x = 34,617,951,481/91,739
6. Step 6: Final answer
   x = 377,352.61