Finding the Third Proportional to 112.25 and 147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112.25 : 147.50 = 147.50 : x
2. Step 2: Convert to fraction form
   112.25/147.50 = 147.50/x
3. Step 3: Cross multiply
   112.25x = 147.50 × 147.50
4. Step 4: Simplify right side
   112.25x = 21,756.25
5. Step 5: Solve for x
   x = 21,756.25/112.25
6. Step 6: Final answer
   x = 193.82