Finding the Third Proportional to 117,796 and 180,150

Step by Step Solution

1. Step 1: Write the proportion equation
   117,796 : 180,150 = 180,150 : x
2. Step 2: Convert to fraction form
   117,796/180,150 = 180,150/x
3. Step 3: Cross multiply
   117,796x = 180,150 × 180,150
4. Step 4: Simplify right side
   117,796x = 32,454,022,500
5. Step 5: Solve for x
   x = 32,454,022,500/117,796
6. Step 6: Final answer
   x = 275,510.40