Finding the Third Proportional to 78,806 and 117,930

Step by Step Solution

1. Step 1: Write the proportion equation
   78,806 : 117,930 = 117,930 : x
2. Step 2: Convert to fraction form
   78,806/117,930 = 117,930/x
3. Step 3: Cross multiply
   78,806x = 117,930 × 117,930
4. Step 4: Simplify right side
   78,806x = 13,907,484,900
5. Step 5: Solve for x
   x = 13,907,484,900/78,806
6. Step 6: Final answer
   x = 176,477.49