Finding the Third Proportional to 115,921 and 254,008

Step by Step Solution

1. Step 1: Write the proportion equation
   115,921 : 254,008 = 254,008 : x
2. Step 2: Convert to fraction form
   115,921/254,008 = 254,008/x
3. Step 3: Cross multiply
   115,921x = 254,008 × 254,008
4. Step 4: Simplify right side
   115,921x = 64,520,064,064
5. Step 5: Solve for x
   x = 64,520,064,064/115,921
6. Step 6: Final answer
   x = 556,586.50