Finding the Third Proportional to 159.47 and 307.69

Step by Step Solution

1. Step 1: Write the proportion equation
   159.47 : 307.69 = 307.69 : x
2. Step 2: Convert to fraction form
   159.47/307.69 = 307.69/x
3. Step 3: Cross multiply
   159.47x = 307.69 × 307.69
4. Step 4: Simplify right side
   159.47x = 94,671.60
5. Step 5: Solve for x
   x = 94,671.60/159.47
6. Step 6: Final answer
   x = 593.67