Finding the Third Proportional to 89,080 and 196,016

Step by Step Solution

1. Step 1: Write the proportion equation
   89,080 : 196,016 = 196,016 : x
2. Step 2: Convert to fraction form
   89,080/196,016 = 196,016/x
3. Step 3: Cross multiply
   89,080x = 196,016 × 196,016
4. Step 4: Simplify right side
   89,080x = 38,422,272,256
5. Step 5: Solve for x
   x = 38,422,272,256/89,080
6. Step 6: Final answer
   x = 431,323.22