Finding the Third Proportional to 78,667 and 117,978

Step by Step Solution

1. Step 1: Write the proportion equation
   78,667 : 117,978 = 117,978 : x
2. Step 2: Convert to fraction form
   78,667/117,978 = 117,978/x
3. Step 3: Cross multiply
   78,667x = 117,978 × 117,978
4. Step 4: Simplify right side
   78,667x = 13,918,808,484
5. Step 5: Solve for x
   x = 13,918,808,484/78,667
6. Step 6: Final answer
   x = 176,933.26