Finding the Third Proportional to 82,917 and 194,898

Step by Step Solution

1. Step 1: Write the proportion equation
   82,917 : 194,898 = 194,898 : x
2. Step 2: Convert to fraction form
   82,917/194,898 = 194,898/x
3. Step 3: Cross multiply
   82,917x = 194,898 × 194,898
4. Step 4: Simplify right side
   82,917x = 37,985,230,404
5. Step 5: Solve for x
   x = 37,985,230,404/82,917
6. Step 6: Final answer
   x = 458,111.49