Finding the Third Proportional to 99.67 and 145.94

Step by Step Solution

1. Step 1: Write the proportion equation
   99.67 : 145.94 = 145.94 : x
2. Step 2: Convert to fraction form
   99.67/145.94 = 145.94/x
3. Step 3: Cross multiply
   99.67x = 145.94 × 145.94
4. Step 4: Simplify right side
   99.67x = 21,299.18
5. Step 5: Solve for x
   x = 21,299.18/99.67
6. Step 6: Final answer
   x = 213.70