Finding the Third Proportional to 90,566 and 196,684

Step by Step Solution

1. Step 1: Write the proportion equation
   90,566 : 196,684 = 196,684 : x
2. Step 2: Convert to fraction form
   90,566/196,684 = 196,684/x
3. Step 3: Cross multiply
   90,566x = 196,684 × 196,684
4. Step 4: Simplify right side
   90,566x = 38,684,595,856
5. Step 5: Solve for x
   x = 38,684,595,856/90,566
6. Step 6: Final answer
   x = 427,142.59