Finding the Third Proportional to 42,165 and 90,171

Step by Step Solution

1. Step 1: Write the proportion equation
   42,165 : 90,171 = 90,171 : x
2. Step 2: Convert to fraction form
   42,165/90,171 = 90,171/x
3. Step 3: Cross multiply
   42,165x = 90,171 × 90,171
4. Step 4: Simplify right side
   42,165x = 8,130,809,241
5. Step 5: Solve for x
   x = 8,130,809,241/42,165
6. Step 6: Final answer
   x = 192,833.14