Finding the Third Proportional to 51,442 and 109,204

Step by Step Solution

1. Step 1: Write the proportion equation
   51,442 : 109,204 = 109,204 : x
2. Step 2: Convert to fraction form
   51,442/109,204 = 109,204/x
3. Step 3: Cross multiply
   51,442x = 109,204 × 109,204
4. Step 4: Simplify right side
   51,442x = 11,925,513,616
5. Step 5: Solve for x
   x = 11,925,513,616/51,442
6. Step 6: Final answer
   x = 231,824.46