Finding the Third Proportional to 41,817 and 90,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,817 : 90,199.50 = 90,199.50 : x
2. Step 2: Convert to fraction form
   41,817/90,199.50 = 90,199.50/x
3. Step 3: Cross multiply
   41,817x = 90,199.50 × 90,199.50
4. Step 4: Simplify right side
   41,817x = 8,135,949,800.25
5. Step 5: Solve for x
   x = 8,135,949,800.25/41,817
6. Step 6: Final answer
   x = 194,560.82