Finding the Third Proportional to 111,402 and 171,933

Step by Step Solution

1. Step 1: Write the proportion equation
   111,402 : 171,933 = 171,933 : x
2. Step 2: Convert to fraction form
   111,402/171,933 = 171,933/x
3. Step 3: Cross multiply
   111,402x = 171,933 × 171,933
4. Step 4: Simplify right side
   111,402x = 29,560,956,489
5. Step 5: Solve for x
   x = 29,560,956,489/111,402
6. Step 6: Final answer
   x = 265,353.91