Finding the Third Proportional to 78,666 and 117,976

Step by Step Solution

1. Step 1: Write the proportion equation
   78,666 : 117,976 = 117,976 : x
2. Step 2: Convert to fraction form
   78,666/117,976 = 117,976/x
3. Step 3: Cross multiply
   78,666x = 117,976 × 117,976
4. Step 4: Simplify right side
   78,666x = 13,918,336,576
5. Step 5: Solve for x
   x = 13,918,336,576/78,666
6. Step 6: Final answer
   x = 176,929.51