Finding the Third Proportional to 90,642 and 194,406

Step by Step Solution

1. Step 1: Write the proportion equation
   90,642 : 194,406 = 194,406 : x
2. Step 2: Convert to fraction form
   90,642/194,406 = 194,406/x
3. Step 3: Cross multiply
   90,642x = 194,406 × 194,406
4. Step 4: Simplify right side
   90,642x = 37,793,692,836
5. Step 5: Solve for x
   x = 37,793,692,836/90,642
6. Step 6: Final answer
   x = 416,955.64