Finding the Third Proportional to 307.69 and 457.03

Step by Step Solution

1. Step 1: Write the proportion equation
   307.69 : 457.03 = 457.03 : x
2. Step 2: Convert to fraction form
   307.69/457.03 = 457.03/x
3. Step 3: Cross multiply
   307.69x = 457.03 × 457.03
4. Step 4: Simplify right side
   307.69x = 208,877.56
5. Step 5: Solve for x
   x = 208,877.56/307.69
6. Step 6: Final answer
   x = 678.86