Finding the Third Proportional to 70.25 and 148.25

Step by Step Solution

1. Step 1: Write the proportion equation
   70.25 : 148.25 = 148.25 : x
2. Step 2: Convert to fraction form
   70.25/148.25 = 148.25/x
3. Step 3: Cross multiply
   70.25x = 148.25 × 148.25
4. Step 4: Simplify right side
   70.25x = 21,978.06
5. Step 5: Solve for x
   x = 21,978.06/70.25
6. Step 6: Final answer
   x = 312.85