Finding the Third Proportional to 76,982 and 160,010

Step by Step Solution

1. Step 1: Write the proportion equation
   76,982 : 160,010 = 160,010 : x
2. Step 2: Convert to fraction form
   76,982/160,010 = 160,010/x
3. Step 3: Cross multiply
   76,982x = 160,010 × 160,010
4. Step 4: Simplify right side
   76,982x = 25,603,200,100
5. Step 5: Solve for x
   x = 25,603,200,100/76,982
6. Step 6: Final answer
   x = 332,586.84