Finding the Third Proportional to 152,096 and 355,360

Step by Step Solution

1. Step 1: Write the proportion equation
   152,096 : 355,360 = 355,360 : x
2. Step 2: Convert to fraction form
   152,096/355,360 = 355,360/x
3. Step 3: Cross multiply
   152,096x = 355,360 × 355,360
4. Step 4: Simplify right side
   152,096x = 126,280,729,600
5. Step 5: Solve for x
   x = 126,280,729,600/152,096
6. Step 6: Final answer
   x = 830,269.89