Finding the Third Proportional to 90,441 and 209,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,441 : 209,542.50 = 209,542.50 : x
2. Step 2: Convert to fraction form
   90,441/209,542.50 = 209,542.50/x
3. Step 3: Cross multiply
   90,441x = 209,542.50 × 209,542.50
4. Step 4: Simplify right side
   90,441x = 43,908,059,306.25
5. Step 5: Solve for x
   x = 43,908,059,306.25/90,441
6. Step 6: Final answer
   x = 485,488.43