Finding the Third Proportional to 90,686 and 194,476

Step by Step Solution

1. Step 1: Write the proportion equation
   90,686 : 194,476 = 194,476 : x
2. Step 2: Convert to fraction form
   90,686/194,476 = 194,476/x
3. Step 3: Cross multiply
   90,686x = 194,476 × 194,476
4. Step 4: Simplify right side
   90,686x = 37,820,914,576
5. Step 5: Solve for x
   x = 37,820,914,576/90,686
6. Step 6: Final answer
   x = 417,053.51