Finding the Third Proportional to 78,417 and 119,978

Step by Step Solution

1. Step 1: Write the proportion equation
   78,417 : 119,978 = 119,978 : x
2. Step 2: Convert to fraction form
   78,417/119,978 = 119,978/x
3. Step 3: Cross multiply
   78,417x = 119,978 × 119,978
4. Step 4: Simplify right side
   78,417x = 14,394,720,484
5. Step 5: Solve for x
   x = 14,394,720,484/78,417
6. Step 6: Final answer
   x = 183,566.32