Finding the Third Proportional to 76,902 and 165,300

Step by Step Solution

1. Step 1: Write the proportion equation
   76,902 : 165,300 = 165,300 : x
2. Step 2: Convert to fraction form
   76,902/165,300 = 165,300/x
3. Step 3: Cross multiply
   76,902x = 165,300 × 165,300
4. Step 4: Simplify right side
   76,902x = 27,324,090,000
5. Step 5: Solve for x
   x = 27,324,090,000/76,902
6. Step 6: Final answer
   x = 355,310.53