Finding the Third Proportional to 156,740 and 282,360

Step by Step Solution

1. Step 1: Write the proportion equation
   156,740 : 282,360 = 282,360 : x
2. Step 2: Convert to fraction form
   156,740/282,360 = 282,360/x
3. Step 3: Cross multiply
   156,740x = 282,360 × 282,360
4. Step 4: Simplify right side
   156,740x = 79,727,169,600
5. Step 5: Solve for x
   x = 79,727,169,600/156,740
6. Step 6: Final answer
   x = 508,658.73