Finding the Third Proportional to 88,682 and 194,610

Step by Step Solution

1. Step 1: Write the proportion equation
   88,682 : 194,610 = 194,610 : x
2. Step 2: Convert to fraction form
   88,682/194,610 = 194,610/x
3. Step 3: Cross multiply
   88,682x = 194,610 × 194,610
4. Step 4: Simplify right side
   88,682x = 37,873,052,100
5. Step 5: Solve for x
   x = 37,873,052,100/88,682
6. Step 6: Final answer
   x = 427,065.83