Finding the Third Proportional to 109,978 and 164,964

Step by Step Solution

1. Step 1: Write the proportion equation
   109,978 : 164,964 = 164,964 : x
2. Step 2: Convert to fraction form
   109,978/164,964 = 164,964/x
3. Step 3: Cross multiply
   109,978x = 164,964 × 164,964
4. Step 4: Simplify right side
   109,978x = 27,213,121,296
5. Step 5: Solve for x
   x = 27,213,121,296/109,978
6. Step 6: Final answer
   x = 247,441.50