Finding the Third Proportional to 111,152 and 257,096

Step by Step Solution

1. Step 1: Write the proportion equation
   111,152 : 257,096 = 257,096 : x
2. Step 2: Convert to fraction form
   111,152/257,096 = 257,096/x
3. Step 3: Cross multiply
   111,152x = 257,096 × 257,096
4. Step 4: Simplify right side
   111,152x = 66,098,353,216
5. Step 5: Solve for x
   x = 66,098,353,216/111,152
6. Step 6: Final answer
   x = 594,666.34