Finding the Third Proportional to 146 and 167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146 : 167.50 = 167.50 : x
2. Step 2: Convert to fraction form
   146/167.50 = 167.50/x
3. Step 3: Cross multiply
   146x = 167.50 × 167.50
4. Step 4: Simplify right side
   146x = 28,056.25
5. Step 5: Solve for x
   x = 28,056.25/146
6. Step 6: Final answer
   x = 192.17