Finding the Third Proportional to 90,648 and 196,362

Step by Step Solution

1. Step 1: Write the proportion equation
   90,648 : 196,362 = 196,362 : x
2. Step 2: Convert to fraction form
   90,648/196,362 = 196,362/x
3. Step 3: Cross multiply
   90,648x = 196,362 × 196,362
4. Step 4: Simplify right side
   90,648x = 38,558,035,044
5. Step 5: Solve for x
   x = 38,558,035,044/90,648
6. Step 6: Final answer
   x = 425,360.02