Finding the Third Proportional to 89,919.75 and 196,971

Step by Step Solution

1. Step 1: Write the proportion equation
   89,919.75 : 196,971 = 196,971 : x
2. Step 2: Convert to fraction form
   89,919.75/196,971 = 196,971/x
3. Step 3: Cross multiply
   89,919.75x = 196,971 × 196,971
4. Step 4: Simplify right side
   89,919.75x = 38,797,574,841
5. Step 5: Solve for x
   x = 38,797,574,841/89,919.75
6. Step 6: Final answer
   x = 431,468.89