Finding the Third Proportional to 89,076 and 196,008

Step by Step Solution

1. Step 1: Write the proportion equation
   89,076 : 196,008 = 196,008 : x
2. Step 2: Convert to fraction form
   89,076/196,008 = 196,008/x
3. Step 3: Cross multiply
   89,076x = 196,008 × 196,008
4. Step 4: Simplify right side
   89,076x = 38,419,136,064
5. Step 5: Solve for x
   x = 38,419,136,064/89,076
6. Step 6: Final answer
   x = 431,307.38