Finding the Third Proportional to 72,823 and 109,749

Step by Step Solution

1. Step 1: Write the proportion equation
   72,823 : 109,749 = 109,749 : x
2. Step 2: Convert to fraction form
   72,823/109,749 = 109,749/x
3. Step 3: Cross multiply
   72,823x = 109,749 × 109,749
4. Step 4: Simplify right side
   72,823x = 12,044,843,001
5. Step 5: Solve for x
   x = 12,044,843,001/72,823
6. Step 6: Final answer
   x = 165,398.88