Finding the Third Proportional to 89,186 and 194,956

Step by Step Solution

1. Step 1: Write the proportion equation
   89,186 : 194,956 = 194,956 : x
2. Step 2: Convert to fraction form
   89,186/194,956 = 194,956/x
3. Step 3: Cross multiply
   89,186x = 194,956 × 194,956
4. Step 4: Simplify right side
   89,186x = 38,007,841,936
5. Step 5: Solve for x
   x = 38,007,841,936/89,186
6. Step 6: Final answer
   x = 426,163.77