Finding the Third Proportional to 41,420 and 90,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,420 : 90,171.50 = 90,171.50 : x
2. Step 2: Convert to fraction form
   41,420/90,171.50 = 90,171.50/x
3. Step 3: Cross multiply
   41,420x = 90,171.50 × 90,171.50
4. Step 4: Simplify right side
   41,420x = 8,130,899,412.25
5. Step 5: Solve for x
   x = 8,130,899,412.25/41,420
6. Step 6: Final answer
   x = 196,303.70