Finding the Third Proportional to 76,061 and 165,496

Step by Step Solution

1. Step 1: Write the proportion equation
   76,061 : 165,496 = 165,496 : x
2. Step 2: Convert to fraction form
   76,061/165,496 = 165,496/x
3. Step 3: Cross multiply
   76,061x = 165,496 × 165,496
4. Step 4: Simplify right side
   76,061x = 27,388,926,016
5. Step 5: Solve for x
   x = 27,388,926,016/76,061
6. Step 6: Final answer
   x = 360,091.58