Finding the Third Proportional to 75,370.50 and 159,678

Step by Step Solution

1. Step 1: Write the proportion equation
   75,370.50 : 159,678 = 159,678 : x
2. Step 2: Convert to fraction form
   75,370.50/159,678 = 159,678/x
3. Step 3: Cross multiply
   75,370.50x = 159,678 × 159,678
4. Step 4: Simplify right side
   75,370.50x = 25,497,063,684
5. Step 5: Solve for x
   x = 25,497,063,684/75,370.50
6. Step 6: Final answer
   x = 338,289.70