Finding the Third Proportional to 82,914 and 194,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,914 : 194,890.50 = 194,890.50 : x
2. Step 2: Convert to fraction form
   82,914/194,890.50 = 194,890.50/x
3. Step 3: Cross multiply
   82,914x = 194,890.50 × 194,890.50
4. Step 4: Simplify right side
   82,914x = 37,982,306,990.25
5. Step 5: Solve for x
   x = 37,982,306,990.25/82,914
6. Step 6: Final answer
   x = 458,092.81