Finding the Third Proportional to 102,978 and 164,459

Step by Step Solution

1. Step 1: Write the proportion equation
   102,978 : 164,459 = 164,459 : x
2. Step 2: Convert to fraction form
   102,978/164,459 = 164,459/x
3. Step 3: Cross multiply
   102,978x = 164,459 × 164,459
4. Step 4: Simplify right side
   102,978x = 27,046,762,681
5. Step 5: Solve for x
   x = 27,046,762,681/102,978
6. Step 6: Final answer
   x = 262,646.03