Finding the Third Proportional to 59.25 and 147.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59.25 : 147.75 = 147.75 : x
2. Step 2: Convert to fraction form
   59.25/147.75 = 147.75/x
3. Step 3: Cross multiply
   59.25x = 147.75 × 147.75
4. Step 4: Simplify right side
   59.25x = 21,830.06
5. Step 5: Solve for x
   x = 21,830.06/59.25
6. Step 6: Final answer
   x = 368.44