Finding the Third Proportional to 81,783 and 115,978

Step by Step Solution

1. Step 1: Write the proportion equation
   81,783 : 115,978 = 115,978 : x
2. Step 2: Convert to fraction form
   81,783/115,978 = 115,978/x
3. Step 3: Cross multiply
   81,783x = 115,978 × 115,978
4. Step 4: Simplify right side
   81,783x = 13,450,896,484
5. Step 5: Solve for x
   x = 13,450,896,484/81,783
6. Step 6: Final answer
   x = 164,470.57