Finding the Third Proportional to 402,256 and 596,426

Step by Step Solution

1. Step 1: Write the proportion equation
   402,256 : 596,426 = 596,426 : x
2. Step 2: Convert to fraction form
   402,256/596,426 = 596,426/x
3. Step 3: Cross multiply
   402,256x = 596,426 × 596,426
4. Step 4: Simplify right side
   402,256x = 355,723,973,476
5. Step 5: Solve for x
   x = 355,723,973,476/402,256
6. Step 6: Final answer
   x = 884,322.36