Finding the Third Proportional to 37,383 and 78,978

Step by Step Solution

1. Step 1: Write the proportion equation
   37,383 : 78,978 = 78,978 : x
2. Step 2: Convert to fraction form
   37,383/78,978 = 78,978/x
3. Step 3: Cross multiply
   37,383x = 78,978 × 78,978
4. Step 4: Simplify right side
   37,383x = 6,237,524,484
5. Step 5: Solve for x
   x = 6,237,524,484/37,383
6. Step 6: Final answer
   x = 166,854.57