Finding the Third Proportional to 76,672 and 167,648

Step by Step Solution

1. Step 1: Write the proportion equation
   76,672 : 167,648 = 167,648 : x
2. Step 2: Convert to fraction form
   76,672/167,648 = 167,648/x
3. Step 3: Cross multiply
   76,672x = 167,648 × 167,648
4. Step 4: Simplify right side
   76,672x = 28,105,851,904
5. Step 5: Solve for x
   x = 28,105,851,904/76,672
6. Step 6: Final answer
   x = 366,572.57