Finding the Third Proportional to 78,839 and 175,174

Step by Step Solution

1. Step 1: Write the proportion equation
   78,839 : 175,174 = 175,174 : x
2. Step 2: Convert to fraction form
   78,839/175,174 = 175,174/x
3. Step 3: Cross multiply
   78,839x = 175,174 × 175,174
4. Step 4: Simplify right side
   78,839x = 30,685,930,276
5. Step 5: Solve for x
   x = 30,685,930,276/78,839
6. Step 6: Final answer
   x = 389,222.72