Finding the Third Proportional to 81,692 and 110,870

Step by Step Solution

1. Step 1: Write the proportion equation
   81,692 : 110,870 = 110,870 : x
2. Step 2: Convert to fraction form
   81,692/110,870 = 110,870/x
3. Step 3: Cross multiply
   81,692x = 110,870 × 110,870
4. Step 4: Simplify right side
   81,692x = 12,292,156,900
5. Step 5: Solve for x
   x = 12,292,156,900/81,692
6. Step 6: Final answer
   x = 150,469.53