Finding the Third Proportional to 81,980 and 120,054

Step by Step Solution

1. Step 1: Write the proportion equation
   81,980 : 120,054 = 120,054 : x
2. Step 2: Convert to fraction form
   81,980/120,054 = 120,054/x
3. Step 3: Cross multiply
   81,980x = 120,054 × 120,054
4. Step 4: Simplify right side
   81,980x = 14,412,962,916
5. Step 5: Solve for x
   x = 14,412,962,916/81,980
6. Step 6: Final answer
   x = 175,810.72