Finding the Third Proportional to 90,462.50 and 192,948.25

Step by Step Solution

1. Step 1: Write the proportion equation
   90,462.50 : 192,948.25 = 192,948.25 : x
2. Step 2: Convert to fraction form
   90,462.50/192,948.25 = 192,948.25/x
3. Step 3: Cross multiply
   90,462.50x = 192,948.25 × 192,948.25
4. Step 4: Simplify right side
   90,462.50x = 37,229,027,178.06
5. Step 5: Solve for x
   x = 37,229,027,178.06/90,462.50
6. Step 6: Final answer
   x = 411,540.99