Finding the Third Proportional to 90,456 and 196,476

Step by Step Solution

1. Step 1: Write the proportion equation
   90,456 : 196,476 = 196,476 : x
2. Step 2: Convert to fraction form
   90,456/196,476 = 196,476/x
3. Step 3: Cross multiply
   90,456x = 196,476 × 196,476
4. Step 4: Simplify right side
   90,456x = 38,602,818,576
5. Step 5: Solve for x
   x = 38,602,818,576/90,456
6. Step 6: Final answer
   x = 426,757.97