Finding the Third Proportional to 72,677 and 109,907

Step by Step Solution

1. Step 1: Write the proportion equation
   72,677 : 109,907 = 109,907 : x
2. Step 2: Convert to fraction form
   72,677/109,907 = 109,907/x
3. Step 3: Cross multiply
   72,677x = 109,907 × 109,907
4. Step 4: Simplify right side
   72,677x = 12,079,548,649
5. Step 5: Solve for x
   x = 12,079,548,649/72,677
6. Step 6: Final answer
   x = 166,208.69