Finding the Third Proportional to 57,978 and 82,755

Step by Step Solution

1. Step 1: Write the proportion equation
   57,978 : 82,755 = 82,755 : x
2. Step 2: Convert to fraction form
   57,978/82,755 = 82,755/x
3. Step 3: Cross multiply
   57,978x = 82,755 × 82,755
4. Step 4: Simplify right side
   57,978x = 6,848,390,025
5. Step 5: Solve for x
   x = 6,848,390,025/57,978
6. Step 6: Final answer
   x = 118,120.49