Finding the Third Proportional to 156,989 and 333,580

Step by Step Solution

1. Step 1: Write the proportion equation
   156,989 : 333,580 = 333,580 : x
2. Step 2: Convert to fraction form
   156,989/333,580 = 333,580/x
3. Step 3: Cross multiply
   156,989x = 333,580 × 333,580
4. Step 4: Simplify right side
   156,989x = 111,275,616,400
5. Step 5: Solve for x
   x = 111,275,616,400/156,989
6. Step 6: Final answer
   x = 708,811.55