Finding the Third Proportional to 84,978 and 173,644

Step by Step Solution

1. Step 1: Write the proportion equation
   84,978 : 173,644 = 173,644 : x
2. Step 2: Convert to fraction form
   84,978/173,644 = 173,644/x
3. Step 3: Cross multiply
   84,978x = 173,644 × 173,644
4. Step 4: Simplify right side
   84,978x = 30,152,238,736
5. Step 5: Solve for x
   x = 30,152,238,736/84,978
6. Step 6: Final answer
   x = 354,824.06