Finding the Third Proportional to 40,776 and 85,980

Step by Step Solution

1. Step 1: Write the proportion equation
   40,776 : 85,980 = 85,980 : x
2. Step 2: Convert to fraction form
   40,776/85,980 = 85,980/x
3. Step 3: Cross multiply
   40,776x = 85,980 × 85,980
4. Step 4: Simplify right side
   40,776x = 7,392,560,400
5. Step 5: Solve for x
   x = 7,392,560,400/40,776
6. Step 6: Final answer
   x = 181,296.85