Finding the Third Proportional to 42,678 and 91,674

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678 : 91,674 = 91,674 : x
2. Step 2: Convert to fraction form
   42,678/91,674 = 91,674/x
3. Step 3: Cross multiply
   42,678x = 91,674 × 91,674
4. Step 4: Simplify right side
   42,678x = 8,404,122,276
5. Step 5: Solve for x
   x = 8,404,122,276/42,678
6. Step 6: Final answer
   x = 196,919.31