Finding the Third Proportional to 50.19 and 100.06

Step by Step Solution

1. Step 1: Write the proportion equation
   50.19 : 100.06 = 100.06 : x
2. Step 2: Convert to fraction form
   50.19/100.06 = 100.06/x
3. Step 3: Cross multiply
   50.19x = 100.06 × 100.06
4. Step 4: Simplify right side
   50.19x = 10,012.50
5. Step 5: Solve for x
   x = 10,012.50/50.19
6. Step 6: Final answer
   x = 199.50