Finding the Third Proportional to 42,392 and 83,717

Step by Step Solution

1. Step 1: Write the proportion equation
   42,392 : 83,717 = 83,717 : x
2. Step 2: Convert to fraction form
   42,392/83,717 = 83,717/x
3. Step 3: Cross multiply
   42,392x = 83,717 × 83,717
4. Step 4: Simplify right side
   42,392x = 7,008,536,089
5. Step 5: Solve for x
   x = 7,008,536,089/42,392
6. Step 6: Final answer
   x = 165,326.86