Finding the Third Proportional to 80,055 and 115,947

Step by Step Solution

1. Step 1: Write the proportion equation
   80,055 : 115,947 = 115,947 : x
2. Step 2: Convert to fraction form
   80,055/115,947 = 115,947/x
3. Step 3: Cross multiply
   80,055x = 115,947 × 115,947
4. Step 4: Simplify right side
   80,055x = 13,443,706,809
5. Step 5: Solve for x
   x = 13,443,706,809/80,055
6. Step 6: Final answer
   x = 167,930.88