Finding the Third Proportional to 76,487.25 and 165,684

Step by Step Solution

1. Step 1: Write the proportion equation
   76,487.25 : 165,684 = 165,684 : x
2. Step 2: Convert to fraction form
   76,487.25/165,684 = 165,684/x
3. Step 3: Cross multiply
   76,487.25x = 165,684 × 165,684
4. Step 4: Simplify right side
   76,487.25x = 27,451,187,856
5. Step 5: Solve for x
   x = 27,451,187,856/76,487.25
6. Step 6: Final answer
   x = 358,898.87