Finding the Third Proportional to 90,563 and 196,685

Step by Step Solution

1. Step 1: Write the proportion equation
   90,563 : 196,685 = 196,685 : x
2. Step 2: Convert to fraction form
   90,563/196,685 = 196,685/x
3. Step 3: Cross multiply
   90,563x = 196,685 × 196,685
4. Step 4: Simplify right side
   90,563x = 38,684,989,225
5. Step 5: Solve for x
   x = 38,684,989,225/90,563
6. Step 6: Final answer
   x = 427,161.08