Finding the Third Proportional to 81,782 and 119,978

Step by Step Solution

1. Step 1: Write the proportion equation
   81,782 : 119,978 = 119,978 : x
2. Step 2: Convert to fraction form
   81,782/119,978 = 119,978/x
3. Step 3: Cross multiply
   81,782x = 119,978 × 119,978
4. Step 4: Simplify right side
   81,782x = 14,394,720,484
5. Step 5: Solve for x
   x = 14,394,720,484/81,782
6. Step 6: Final answer
   x = 176,013.31