Finding the Third Proportional to 117,624 and 254,040

Step by Step Solution

1. Step 1: Write the proportion equation
   117,624 : 254,040 = 254,040 : x
2. Step 2: Convert to fraction form
   117,624/254,040 = 254,040/x
3. Step 3: Cross multiply
   117,624x = 254,040 × 254,040
4. Step 4: Simplify right side
   117,624x = 64,536,321,600
5. Step 5: Solve for x
   x = 64,536,321,600/117,624
6. Step 6: Final answer
   x = 548,666.27