Finding the Third Proportional to 83,228 and 180,280

Step by Step Solution

1. Step 1: Write the proportion equation
   83,228 : 180,280 = 180,280 : x
2. Step 2: Convert to fraction form
   83,228/180,280 = 180,280/x
3. Step 3: Cross multiply
   83,228x = 180,280 × 180,280
4. Step 4: Simplify right side
   83,228x = 32,500,878,400
5. Step 5: Solve for x
   x = 32,500,878,400/83,228
6. Step 6: Final answer
   x = 390,504.14