Finding the Third Proportional to 117,992 and 254,766

Step by Step Solution

1. Step 1: Write the proportion equation
   117,992 : 254,766 = 254,766 : x
2. Step 2: Convert to fraction form
   117,992/254,766 = 254,766/x
3. Step 3: Cross multiply
   117,992x = 254,766 × 254,766
4. Step 4: Simplify right side
   117,992x = 64,905,714,756
5. Step 5: Solve for x
   x = 64,905,714,756/117,992
6. Step 6: Final answer
   x = 550,085.72