Finding the Third Proportional to 81,996 and 120,076

Step by Step Solution

1. Step 1: Write the proportion equation
   81,996 : 120,076 = 120,076 : x
2. Step 2: Convert to fraction form
   81,996/120,076 = 120,076/x
3. Step 3: Cross multiply
   81,996x = 120,076 × 120,076
4. Step 4: Simplify right side
   81,996x = 14,418,245,776
5. Step 5: Solve for x
   x = 14,418,245,776/81,996
6. Step 6: Final answer
   x = 175,840.84