Finding the Third Proportional to 78,544 and 172,640

Step by Step Solution

1. Step 1: Write the proportion equation
   78,544 : 172,640 = 172,640 : x
2. Step 2: Convert to fraction form
   78,544/172,640 = 172,640/x
3. Step 3: Cross multiply
   78,544x = 172,640 × 172,640
4. Step 4: Simplify right side
   78,544x = 29,804,569,600
5. Step 5: Solve for x
   x = 29,804,569,600/78,544
6. Step 6: Final answer
   x = 379,463.35