Finding the Third Proportional to 90,446 and 196,460

Step by Step Solution

1. Step 1: Write the proportion equation
   90,446 : 196,460 = 196,460 : x
2. Step 2: Convert to fraction form
   90,446/196,460 = 196,460/x
3. Step 3: Cross multiply
   90,446x = 196,460 × 196,460
4. Step 4: Simplify right side
   90,446x = 38,596,531,600
5. Step 5: Solve for x
   x = 38,596,531,600/90,446
6. Step 6: Final answer
   x = 426,735.64