Finding the Third Proportional to 117,616.50 and 254,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,616.50 : 254,672.50 = 254,672.50 : x
2. Step 2: Convert to fraction form
   117,616.50/254,672.50 = 254,672.50/x
3. Step 3: Cross multiply
   117,616.50x = 254,672.50 × 254,672.50
4. Step 4: Simplify right side
   117,616.50x = 64,858,082,256.25
5. Step 5: Solve for x
   x = 64,858,082,256.25/117,616.50
6. Step 6: Final answer
   x = 551,436.93