Finding the Third Proportional to 78,767 and 172,844

Step by Step Solution

1. Step 1: Write the proportion equation
   78,767 : 172,844 = 172,844 : x
2. Step 2: Convert to fraction form
   78,767/172,844 = 172,844/x
3. Step 3: Cross multiply
   78,767x = 172,844 × 172,844
4. Step 4: Simplify right side
   78,767x = 29,875,048,336
5. Step 5: Solve for x
   x = 29,875,048,336/78,767
6. Step 6: Final answer
   x = 379,283.82