Finding the Third Proportional to 90,236 and 196,510

Step by Step Solution

1. Step 1: Write the proportion equation
   90,236 : 196,510 = 196,510 : x
2. Step 2: Convert to fraction form
   90,236/196,510 = 196,510/x
3. Step 3: Cross multiply
   90,236x = 196,510 × 196,510
4. Step 4: Simplify right side
   90,236x = 38,616,180,100
5. Step 5: Solve for x
   x = 38,616,180,100/90,236
6. Step 6: Final answer
   x = 427,946.50