Finding the Third Proportional to 90,585.75 and 213,142.88

Step by Step Solution

1. Step 1: Write the proportion equation
   90,585.75 : 213,142.88 = 213,142.88 : x
2. Step 2: Convert to fraction form
   90,585.75/213,142.88 = 213,142.88/x
3. Step 3: Cross multiply
   90,585.75x = 213,142.88 × 213,142.88
4. Step 4: Simplify right side
   90,585.75x = 45,429,885,163.27
5. Step 5: Solve for x
   x = 45,429,885,163.27/90,585.75
6. Step 6: Final answer
   x = 501,512.49