Finding the Third Proportional to 83,108 and 180,308

Step by Step Solution

1. Step 1: Write the proportion equation
   83,108 : 180,308 = 180,308 : x
2. Step 2: Convert to fraction form
   83,108/180,308 = 180,308/x
3. Step 3: Cross multiply
   83,108x = 180,308 × 180,308
4. Step 4: Simplify right side
   83,108x = 32,510,974,864
5. Step 5: Solve for x
   x = 32,510,974,864/83,108
6. Step 6: Final answer
   x = 391,189.47