Finding the Third Proportional to 78,778 and 116,930

Step by Step Solution

1. Step 1: Write the proportion equation
   78,778 : 116,930 = 116,930 : x
2. Step 2: Convert to fraction form
   78,778/116,930 = 116,930/x
3. Step 3: Cross multiply
   78,778x = 116,930 × 116,930
4. Step 4: Simplify right side
   78,778x = 13,672,624,900
5. Step 5: Solve for x
   x = 13,672,624,900/78,778
6. Step 6: Final answer
   x = 173,558.92