Finding the Third Proportional to 117,996 and 254,774

Step by Step Solution

1. Step 1: Write the proportion equation
   117,996 : 254,774 = 254,774 : x
2. Step 2: Convert to fraction form
   117,996/254,774 = 254,774/x
3. Step 3: Cross multiply
   117,996x = 254,774 × 254,774
4. Step 4: Simplify right side
   117,996x = 64,909,791,076
5. Step 5: Solve for x
   x = 64,909,791,076/117,996
6. Step 6: Final answer
   x = 550,101.62