Finding the Third Proportional to 102,976 and 164,456

Step by Step Solution

1. Step 1: Write the proportion equation
   102,976 : 164,456 = 164,456 : x
2. Step 2: Convert to fraction form
   102,976/164,456 = 164,456/x
3. Step 3: Cross multiply
   102,976x = 164,456 × 164,456
4. Step 4: Simplify right side
   102,976x = 27,045,775,936
5. Step 5: Solve for x
   x = 27,045,775,936/102,976
6. Step 6: Final answer
   x = 262,641.55