Finding the Third Proportional to 90,801 and 192,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,801 : 192,523.50 = 192,523.50 : x
2. Step 2: Convert to fraction form
   90,801/192,523.50 = 192,523.50/x
3. Step 3: Cross multiply
   90,801x = 192,523.50 × 192,523.50
4. Step 4: Simplify right side
   90,801x = 37,065,298,052.25
5. Step 5: Solve for x
   x = 37,065,298,052.25/90,801
6. Step 6: Final answer
   x = 408,203.63