Finding the Third Proportional to 78,772 and 116,920

Step by Step Solution

1. Step 1: Write the proportion equation
   78,772 : 116,920 = 116,920 : x
2. Step 2: Convert to fraction form
   78,772/116,920 = 116,920/x
3. Step 3: Cross multiply
   78,772x = 116,920 × 116,920
4. Step 4: Simplify right side
   78,772x = 13,670,286,400
5. Step 5: Solve for x
   x = 13,670,286,400/78,772
6. Step 6: Final answer
   x = 173,542.46