Finding the Third Proportional to 100.56 and 141.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100.56 : 141.69 = 141.69 : x
2. Step 2: Convert to fraction form
   100.56/141.69 = 141.69/x
3. Step 3: Cross multiply
   100.56x = 141.69 × 141.69
4. Step 4: Simplify right side
   100.56x = 20,075.35
5. Step 5: Solve for x
   x = 20,075.35/100.56
6. Step 6: Final answer
   x = 199.63