Finding the Third Proportional to 65,807 and 105,978

Step by Step Solution

1. Step 1: Write the proportion equation
   65,807 : 105,978 = 105,978 : x
2. Step 2: Convert to fraction form
   65,807/105,978 = 105,978/x
3. Step 3: Cross multiply
   65,807x = 105,978 × 105,978
4. Step 4: Simplify right side
   65,807x = 11,231,336,484
5. Step 5: Solve for x
   x = 11,231,336,484/65,807
6. Step 6: Final answer
   x = 170,670.85