Finding the Third Proportional to 148.50 and 302.63

Step by Step Solution

1. Step 1: Write the proportion equation
   148.50 : 302.63 = 302.63 : x
2. Step 2: Convert to fraction form
   148.50/302.63 = 302.63/x
3. Step 3: Cross multiply
   148.50x = 302.63 × 302.63
4. Step 4: Simplify right side
   148.50x = 91,581.89
5. Step 5: Solve for x
   x = 91,581.89/148.50
6. Step 6: Final answer
   x = 616.71