Finding the Third Proportional to 90,582 and 213,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,582 : 213,133.50 = 213,133.50 : x
2. Step 2: Convert to fraction form
   90,582/213,133.50 = 213,133.50/x
3. Step 3: Cross multiply
   90,582x = 213,133.50 × 213,133.50
4. Step 4: Simplify right side
   90,582x = 45,425,888,822.25
5. Step 5: Solve for x
   x = 45,425,888,822.25/90,582
6. Step 6: Final answer
   x = 501,489.13