Finding the Third Proportional to 99.75 and 149.72

Step by Step Solution

1. Step 1: Write the proportion equation
   99.75 : 149.72 = 149.72 : x
2. Step 2: Convert to fraction form
   99.75/149.72 = 149.72/x
3. Step 3: Cross multiply
   99.75x = 149.72 × 149.72
4. Step 4: Simplify right side
   99.75x = 22,415.70
5. Step 5: Solve for x
   x = 22,415.70/99.75
6. Step 6: Final answer
   x = 224.72