Finding the Third Proportional to 453.38 and 602.86

Step by Step Solution

1. Step 1: Write the proportion equation
   453.38 : 602.86 = 602.86 : x
2. Step 2: Convert to fraction form
   453.38/602.86 = 602.86/x
3. Step 3: Cross multiply
   453.38x = 602.86 × 602.86
4. Step 4: Simplify right side
   453.38x = 363,439.43
5. Step 5: Solve for x
   x = 363,439.43/453.38
6. Step 6: Final answer
   x = 801.63