Finding the Third Proportional to 90,585 and 213,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,585 : 213,145.50 = 213,145.50 : x
2. Step 2: Convert to fraction form
   90,585/213,145.50 = 213,145.50/x
3. Step 3: Cross multiply
   90,585x = 213,145.50 × 213,145.50
4. Step 4: Simplify right side
   90,585x = 45,431,004,170.25
5. Step 5: Solve for x
   x = 45,431,004,170.25/90,585
6. Step 6: Final answer
   x = 501,529.00