Finding the Third Proportional to 100.83 and 195.05

Step by Step Solution

1. Step 1: Write the proportion equation
   100.83 : 195.05 = 195.05 : x
2. Step 2: Convert to fraction form
   100.83/195.05 = 195.05/x
3. Step 3: Cross multiply
   100.83x = 195.05 × 195.05
4. Step 4: Simplify right side
   100.83x = 38,043.28
5. Step 5: Solve for x
   x = 38,043.28/100.83
6. Step 6: Final answer
   x = 377.31