Finding the Third Proportional to 90,858 and 212,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,858 : 212,227.50 = 212,227.50 : x
2. Step 2: Convert to fraction form
   90,858/212,227.50 = 212,227.50/x
3. Step 3: Cross multiply
   90,858x = 212,227.50 × 212,227.50
4. Step 4: Simplify right side
   90,858x = 45,040,511,756.25
5. Step 5: Solve for x
   x = 45,040,511,756.25/90,858
6. Step 6: Final answer
   x = 495,724.23