Finding the Third Proportional to 89,536 and 194,888

Step by Step Solution

1. Step 1: Write the proportion equation
   89,536 : 194,888 = 194,888 : x
2. Step 2: Convert to fraction form
   89,536/194,888 = 194,888/x
3. Step 3: Cross multiply
   89,536x = 194,888 × 194,888
4. Step 4: Simplify right side
   89,536x = 37,981,332,544
5. Step 5: Solve for x
   x = 37,981,332,544/89,536
6. Step 6: Final answer
   x = 424,201.80