Finding the Third Proportional to 90,540 and 194,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,540 : 194,881.50 = 194,881.50 : x
2. Step 2: Convert to fraction form
   90,540/194,881.50 = 194,881.50/x
3. Step 3: Cross multiply
   90,540x = 194,881.50 × 194,881.50
4. Step 4: Simplify right side
   90,540x = 37,978,799,042.25
5. Step 5: Solve for x
   x = 37,978,799,042.25/90,540
6. Step 6: Final answer
   x = 419,469.84