Finding the Third Proportional to 102,980 and 164,462

Step by Step Solution

1. Step 1: Write the proportion equation
   102,980 : 164,462 = 164,462 : x
2. Step 2: Convert to fraction form
   102,980/164,462 = 164,462/x
3. Step 3: Cross multiply
   102,980x = 164,462 × 164,462
4. Step 4: Simplify right side
   102,980x = 27,047,749,444
5. Step 5: Solve for x
   x = 27,047,749,444/102,980
6. Step 6: Final answer
   x = 262,650.51