Finding the Third Proportional to 42,674 and 91,886

Step by Step Solution

1. Step 1: Write the proportion equation
   42,674 : 91,886 = 91,886 : x
2. Step 2: Convert to fraction form
   42,674/91,886 = 91,886/x
3. Step 3: Cross multiply
   42,674x = 91,886 × 91,886
4. Step 4: Simplify right side
   42,674x = 8,443,036,996
5. Step 5: Solve for x
   x = 8,443,036,996/42,674
6. Step 6: Final answer
   x = 197,849.67