Finding the Third Proportional to 72,732 and 110,538

Step by Step Solution

1. Step 1: Write the proportion equation
   72,732 : 110,538 = 110,538 : x
2. Step 2: Convert to fraction form
   72,732/110,538 = 110,538/x
3. Step 3: Cross multiply
   72,732x = 110,538 × 110,538
4. Step 4: Simplify right side
   72,732x = 12,218,649,444
5. Step 5: Solve for x
   x = 12,218,649,444/72,732
6. Step 6: Final answer
   x = 167,995.51