Finding the Third Proportional to 106.31 and 153.77

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 153.77 = 153.77 : x
2. Step 2: Convert to fraction form
   106.31/153.77 = 153.77/x
3. Step 3: Cross multiply
   106.31x = 153.77 × 153.77
4. Step 4: Simplify right side
   106.31x = 23,646.27
5. Step 5: Solve for x
   x = 23,646.27/106.31
6. Step 6: Final answer
   x = 222.42