Finding the Third Proportional to 51,665 and 109,529

Step by Step Solution

1. Step 1: Write the proportion equation
   51,665 : 109,529 = 109,529 : x
2. Step 2: Convert to fraction form
   51,665/109,529 = 109,529/x
3. Step 3: Cross multiply
   51,665x = 109,529 × 109,529
4. Step 4: Simplify right side
   51,665x = 11,996,601,841
5. Step 5: Solve for x
   x = 11,996,601,841/51,665
6. Step 6: Final answer
   x = 232,199.78