Finding the Third Proportional to 57,978 and 82,714

Step by Step Solution

1. Step 1: Write the proportion equation
   57,978 : 82,714 = 82,714 : x
2. Step 2: Convert to fraction form
   57,978/82,714 = 82,714/x
3. Step 3: Cross multiply
   57,978x = 82,714 × 82,714
4. Step 4: Simplify right side
   57,978x = 6,841,605,796
5. Step 5: Solve for x
   x = 6,841,605,796/57,978
6. Step 6: Final answer
   x = 118,003.48