Finding the Third Proportional to 90,216 and 204,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,216 : 204,048.50 = 204,048.50 : x
2. Step 2: Convert to fraction form
   90,216/204,048.50 = 204,048.50/x
3. Step 3: Cross multiply
   90,216x = 204,048.50 × 204,048.50
4. Step 4: Simplify right side
   90,216x = 41,635,790,352.25
5. Step 5: Solve for x
   x = 41,635,790,352.25/90,216
6. Step 6: Final answer
   x = 461,512.26