Finding the Third Proportional to 109,732 and 256,402

Step by Step Solution

1. Step 1: Write the proportion equation
   109,732 : 256,402 = 256,402 : x
2. Step 2: Convert to fraction form
   109,732/256,402 = 256,402/x
3. Step 3: Cross multiply
   109,732x = 256,402 × 256,402
4. Step 4: Simplify right side
   109,732x = 65,741,985,604
5. Step 5: Solve for x
   x = 65,741,985,604/109,732
6. Step 6: Final answer
   x = 599,114.07