Finding the Third Proportional to 111,402 and 256,499

Step by Step Solution

1. Step 1: Write the proportion equation
   111,402 : 256,499 = 256,499 : x
2. Step 2: Convert to fraction form
   111,402/256,499 = 256,499/x
3. Step 3: Cross multiply
   111,402x = 256,499 × 256,499
4. Step 4: Simplify right side
   111,402x = 65,791,737,001
5. Step 5: Solve for x
   x = 65,791,737,001/111,402
6. Step 6: Final answer
   x = 590,579.50