Finding the Third Proportional to 42,086 and 91,084

Step by Step Solution

1. Step 1: Write the proportion equation
   42,086 : 91,084 = 91,084 : x
2. Step 2: Convert to fraction form
   42,086/91,084 = 91,084/x
3. Step 3: Cross multiply
   42,086x = 91,084 × 91,084
4. Step 4: Simplify right side
   42,086x = 8,296,295,056
5. Step 5: Solve for x
   x = 8,296,295,056/42,086
6. Step 6: Final answer
   x = 197,127.19