Finding the Third Proportional to 76,311.50 and 165,760

Step by Step Solution

1. Step 1: Write the proportion equation
   76,311.50 : 165,760 = 165,760 : x
2. Step 2: Convert to fraction form
   76,311.50/165,760 = 165,760/x
3. Step 3: Cross multiply
   76,311.50x = 165,760 × 165,760
4. Step 4: Simplify right side
   76,311.50x = 27,476,377,600
5. Step 5: Solve for x
   x = 27,476,377,600/76,311.50
6. Step 6: Final answer
   x = 360,055.53