Finding the Third Proportional to 52,409 and 109,678

Step by Step Solution

1. Step 1: Write the proportion equation
   52,409 : 109,678 = 109,678 : x
2. Step 2: Convert to fraction form
   52,409/109,678 = 109,678/x
3. Step 3: Cross multiply
   52,409x = 109,678 × 109,678
4. Step 4: Simplify right side
   52,409x = 12,029,263,684
5. Step 5: Solve for x
   x = 12,029,263,684/52,409
6. Step 6: Final answer
   x = 229,526.68