Finding the Third Proportional to 51,978 and 109,389

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978 : 109,389 = 109,389 : x
2. Step 2: Convert to fraction form
   51,978/109,389 = 109,389/x
3. Step 3: Cross multiply
   51,978x = 109,389 × 109,389
4. Step 4: Simplify right side
   51,978x = 11,965,953,321
5. Step 5: Solve for x
   x = 11,965,953,321/51,978
6. Step 6: Final answer
   x = 230,211.88