Finding the Third Proportional to 156,747 and 333,462

Step by Step Solution

1. Step 1: Write the proportion equation
   156,747 : 333,462 = 333,462 : x
2. Step 2: Convert to fraction form
   156,747/333,462 = 333,462/x
3. Step 3: Cross multiply
   156,747x = 333,462 × 333,462
4. Step 4: Simplify right side
   156,747x = 111,196,905,444
5. Step 5: Solve for x
   x = 111,196,905,444/156,747
6. Step 6: Final answer
   x = 709,403.72