Finding the Third Proportional to 91,842 and 194,706

Step by Step Solution

1. Step 1: Write the proportion equation
   91,842 : 194,706 = 194,706 : x
2. Step 2: Convert to fraction form
   91,842/194,706 = 194,706/x
3. Step 3: Cross multiply
   91,842x = 194,706 × 194,706
4. Step 4: Simplify right side
   91,842x = 37,910,426,436
5. Step 5: Solve for x
   x = 37,910,426,436/91,842
6. Step 6: Final answer
   x = 412,778.76