Finding the Third Proportional to 78,930 and 165,156

Step by Step Solution

1. Step 1: Write the proportion equation
   78,930 : 165,156 = 165,156 : x
2. Step 2: Convert to fraction form
   78,930/165,156 = 165,156/x
3. Step 3: Cross multiply
   78,930x = 165,156 × 165,156
4. Step 4: Simplify right side
   78,930x = 27,276,504,336
5. Step 5: Solve for x
   x = 27,276,504,336/78,930
6. Step 6: Final answer
   x = 345,578.42