Finding the Third Proportional to 92,766 and 140,920

Step by Step Solution

1. Step 1: Write the proportion equation
   92,766 : 140,920 = 140,920 : x
2. Step 2: Convert to fraction form
   92,766/140,920 = 140,920/x
3. Step 3: Cross multiply
   92,766x = 140,920 × 140,920
4. Step 4: Simplify right side
   92,766x = 19,858,446,400
5. Step 5: Solve for x
   x = 19,858,446,400/92,766
6. Step 6: Final answer
   x = 214,070.31