Finding the Third Proportional to 101.09 and 150.98

Step by Step Solution

1. Step 1: Write the proportion equation
   101.09 : 150.98 = 150.98 : x
2. Step 2: Convert to fraction form
   101.09/150.98 = 150.98/x
3. Step 3: Cross multiply
   101.09x = 150.98 × 150.98
4. Step 4: Simplify right side
   101.09x = 22,796.28
5. Step 5: Solve for x
   x = 22,796.28/101.09
6. Step 6: Final answer
   x = 225.50