Finding the Third Proportional to 76,208 and 167,499

Step by Step Solution

1. Step 1: Write the proportion equation
   76,208 : 167,499 = 167,499 : x
2. Step 2: Convert to fraction form
   76,208/167,499 = 167,499/x
3. Step 3: Cross multiply
   76,208x = 167,499 × 167,499
4. Step 4: Simplify right side
   76,208x = 28,055,915,001
5. Step 5: Solve for x
   x = 28,055,915,001/76,208
6. Step 6: Final answer
   x = 368,149.21