Finding the Third Proportional to 90,909 and 194,453

Step by Step Solution

1. Step 1: Write the proportion equation
   90,909 : 194,453 = 194,453 : x
2. Step 2: Convert to fraction form
   90,909/194,453 = 194,453/x
3. Step 3: Cross multiply
   90,909x = 194,453 × 194,453
4. Step 4: Simplify right side
   90,909x = 37,811,969,209
5. Step 5: Solve for x
   x = 37,811,969,209/90,909
6. Step 6: Final answer
   x = 415,932.08