Finding the Third Proportional to 70,096 and 110,980

Step by Step Solution

1. Step 1: Write the proportion equation
   70,096 : 110,980 = 110,980 : x
2. Step 2: Convert to fraction form
   70,096/110,980 = 110,980/x
3. Step 3: Cross multiply
   70,096x = 110,980 × 110,980
4. Step 4: Simplify right side
   70,096x = 12,316,560,400
5. Step 5: Solve for x
   x = 12,316,560,400/70,096
6. Step 6: Final answer
   x = 175,709.89