Finding the Third Proportional to 70.45 and 145.76

Step by Step Solution

1. Step 1: Write the proportion equation
   70.45 : 145.76 = 145.76 : x
2. Step 2: Convert to fraction form
   70.45/145.76 = 145.76/x
3. Step 3: Cross multiply
   70.45x = 145.76 × 145.76
4. Step 4: Simplify right side
   70.45x = 21,245.34
5. Step 5: Solve for x
   x = 21,245.34/70.45
6. Step 6: Final answer
   x = 301.55