Finding the Third Proportional to 117,984 and 254,736

Step by Step Solution

1. Step 1: Write the proportion equation
   117,984 : 254,736 = 254,736 : x
2. Step 2: Convert to fraction form
   117,984/254,736 = 254,736/x
3. Step 3: Cross multiply
   117,984x = 254,736 × 254,736
4. Step 4: Simplify right side
   117,984x = 64,890,429,696
5. Step 5: Solve for x
   x = 64,890,429,696/117,984
6. Step 6: Final answer
   x = 549,993.47