Finding the Third Proportional to 100.08 and 189.05

Step by Step Solution

1. Step 1: Write the proportion equation
   100.08 : 189.05 = 189.05 : x
2. Step 2: Convert to fraction form
   100.08/189.05 = 189.05/x
3. Step 3: Cross multiply
   100.08x = 189.05 × 189.05
4. Step 4: Simplify right side
   100.08x = 35,738.72
5. Step 5: Solve for x
   x = 35,738.72/100.08
6. Step 6: Final answer
   x = 357.11