Finding the Third Proportional to 83,096 and 180,212

Step by Step Solution

1. Step 1: Write the proportion equation
   83,096 : 180,212 = 180,212 : x
2. Step 2: Convert to fraction form
   83,096/180,212 = 180,212/x
3. Step 3: Cross multiply
   83,096x = 180,212 × 180,212
4. Step 4: Simplify right side
   83,096x = 32,476,364,944
5. Step 5: Solve for x
   x = 32,476,364,944/83,096
6. Step 6: Final answer
   x = 390,829.46