Finding the Third Proportional to 76,636 and 165,061

Step by Step Solution

1. Step 1: Write the proportion equation
   76,636 : 165,061 = 165,061 : x
2. Step 2: Convert to fraction form
   76,636/165,061 = 165,061/x
3. Step 3: Cross multiply
   76,636x = 165,061 × 165,061
4. Step 4: Simplify right side
   76,636x = 27,245,133,721
5. Step 5: Solve for x
   x = 27,245,133,721/76,636
6. Step 6: Final answer
   x = 355,513.51