Finding the Third Proportional to 82,918 and 194,901

Step by Step Solution

1. Step 1: Write the proportion equation
   82,918 : 194,901 = 194,901 : x
2. Step 2: Convert to fraction form
   82,918/194,901 = 194,901/x
3. Step 3: Cross multiply
   82,918x = 194,901 × 194,901
4. Step 4: Simplify right side
   82,918x = 37,986,399,801
5. Step 5: Solve for x
   x = 37,986,399,801/82,918
6. Step 6: Final answer
   x = 458,120.07