Finding the Third Proportional to 156,742 and 333,452

Step by Step Solution

1. Step 1: Write the proportion equation
   156,742 : 333,452 = 333,452 : x
2. Step 2: Convert to fraction form
   156,742/333,452 = 333,452/x
3. Step 3: Cross multiply
   156,742x = 333,452 × 333,452
4. Step 4: Simplify right side
   156,742x = 111,190,236,304
5. Step 5: Solve for x
   x = 111,190,236,304/156,742
6. Step 6: Final answer
   x = 709,383.80