Finding the Third Proportional to 300.13 and 701.38

Step by Step Solution

1. Step 1: Write the proportion equation
   300.13 : 701.38 = 701.38 : x
2. Step 2: Convert to fraction form
   300.13/701.38 = 701.38/x
3. Step 3: Cross multiply
   300.13x = 701.38 × 701.38
4. Step 4: Simplify right side
   300.13x = 491,926.89
5. Step 5: Solve for x
   x = 491,926.89/300.13
6. Step 6: Final answer
   x = 1,639.07