Finding the Third Proportional to 72,672 and 169,692

Step by Step Solution

1. Step 1: Write the proportion equation
   72,672 : 169,692 = 169,692 : x
2. Step 2: Convert to fraction form
   72,672/169,692 = 169,692/x
3. Step 3: Cross multiply
   72,672x = 169,692 × 169,692
4. Step 4: Simplify right side
   72,672x = 28,795,374,864
5. Step 5: Solve for x
   x = 28,795,374,864/72,672
6. Step 6: Final answer
   x = 396,237.54