Finding the Third Proportional to 76,709 and 165,892

Step by Step Solution

1. Step 1: Write the proportion equation
   76,709 : 165,892 = 165,892 : x
2. Step 2: Convert to fraction form
   76,709/165,892 = 165,892/x
3. Step 3: Cross multiply
   76,709x = 165,892 × 165,892
4. Step 4: Simplify right side
   76,709x = 27,520,155,664
5. Step 5: Solve for x
   x = 27,520,155,664/76,709
6. Step 6: Final answer
   x = 358,760.45