Finding the Third Proportional to 83,109 and 180,150

Step by Step Solution

1. Step 1: Write the proportion equation
   83,109 : 180,150 = 180,150 : x
2. Step 2: Convert to fraction form
   83,109/180,150 = 180,150/x
3. Step 3: Cross multiply
   83,109x = 180,150 × 180,150
4. Step 4: Simplify right side
   83,109x = 32,454,022,500
5. Step 5: Solve for x
   x = 32,454,022,500/83,109
6. Step 6: Final answer
   x = 390,499.49