Finding the Third Proportional to 117,654 and 254,094

Step by Step Solution

1. Step 1: Write the proportion equation
   117,654 : 254,094 = 254,094 : x
2. Step 2: Convert to fraction form
   117,654/254,094 = 254,094/x
3. Step 3: Cross multiply
   117,654x = 254,094 × 254,094
4. Step 4: Simplify right side
   117,654x = 64,563,760,836
5. Step 5: Solve for x
   x = 64,563,760,836/117,654
6. Step 6: Final answer
   x = 548,759.59