Finding the Third Proportional to 90,450 and 196,468

Step by Step Solution

1. Step 1: Write the proportion equation
   90,450 : 196,468 = 196,468 : x
2. Step 2: Convert to fraction form
   90,450/196,468 = 196,468/x
3. Step 3: Cross multiply
   90,450x = 196,468 × 196,468
4. Step 4: Simplify right side
   90,450x = 38,599,675,024
5. Step 5: Solve for x
   x = 38,599,675,024/90,450
6. Step 6: Final answer
   x = 426,751.52