Finding the Third Proportional to 57,978 and 78,327

Step by Step Solution

1. Step 1: Write the proportion equation
   57,978 : 78,327 = 78,327 : x
2. Step 2: Convert to fraction form
   57,978/78,327 = 78,327/x
3. Step 3: Cross multiply
   57,978x = 78,327 × 78,327
4. Step 4: Simplify right side
   57,978x = 6,135,118,929
5. Step 5: Solve for x
   x = 6,135,118,929/57,978
6. Step 6: Final answer
   x = 105,818.05