Finding the Third Proportional to 92.23 and 131.78

Step by Step Solution

1. Step 1: Write the proportion equation
   92.23 : 131.78 = 131.78 : x
2. Step 2: Convert to fraction form
   92.23/131.78 = 131.78/x
3. Step 3: Cross multiply
   92.23x = 131.78 × 131.78
4. Step 4: Simplify right side
   92.23x = 17,366.81
5. Step 5: Solve for x
   x = 17,366.81/92.23
6. Step 6: Final answer
   x = 188.29