Finding the Third Proportional to 51,522 and 109,794

Step by Step Solution

1. Step 1: Write the proportion equation
   51,522 : 109,794 = 109,794 : x
2. Step 2: Convert to fraction form
   51,522/109,794 = 109,794/x
3. Step 3: Cross multiply
   51,522x = 109,794 × 109,794
4. Step 4: Simplify right side
   51,522x = 12,054,722,436
5. Step 5: Solve for x
   x = 12,054,722,436/51,522
6. Step 6: Final answer
   x = 233,972.33