Finding the Third Proportional to 100.75 and 202.69

Step by Step Solution

1. Step 1: Write the proportion equation
   100.75 : 202.69 = 202.69 : x
2. Step 2: Convert to fraction form
   100.75/202.69 = 202.69/x
3. Step 3: Cross multiply
   100.75x = 202.69 × 202.69
4. Step 4: Simplify right side
   100.75x = 41,082.22
5. Step 5: Solve for x
   x = 41,082.22/100.75
6. Step 6: Final answer
   x = 407.76