Finding the Third Proportional to 51,566 and 109,233

Step by Step Solution

1. Step 1: Write the proportion equation
   51,566 : 109,233 = 109,233 : x
2. Step 2: Convert to fraction form
   51,566/109,233 = 109,233/x
3. Step 3: Cross multiply
   51,566x = 109,233 × 109,233
4. Step 4: Simplify right side
   51,566x = 11,931,848,289
5. Step 5: Solve for x
   x = 11,931,848,289/51,566
6. Step 6: Final answer
   x = 231,389.84