Finding the Third Proportional to 82,914.75 and 194,910.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,914.75 : 194,910.75 = 194,910.75 : x
2. Step 2: Convert to fraction form
   82,914.75/194,910.75 = 194,910.75/x
3. Step 3: Cross multiply
   82,914.75x = 194,910.75 × 194,910.75
4. Step 4: Simplify right side
   82,914.75x = 37,990,200,465.56
5. Step 5: Solve for x
   x = 37,990,200,465.56/82,914.75
6. Step 6: Final answer
   x = 458,183.86