Finding the Third Proportional to 78,768 and 172,846

Step by Step Solution

1. Step 1: Write the proportion equation
   78,768 : 172,846 = 172,846 : x
2. Step 2: Convert to fraction form
   78,768/172,846 = 172,846/x
3. Step 3: Cross multiply
   78,768x = 172,846 × 172,846
4. Step 4: Simplify right side
   78,768x = 29,875,739,716
5. Step 5: Solve for x
   x = 29,875,739,716/78,768
6. Step 6: Final answer
   x = 379,287.78