Finding the Third Proportional to 172,814 and 254,144

Step by Step Solution

1. Step 1: Write the proportion equation
   172,814 : 254,144 = 254,144 : x
2. Step 2: Convert to fraction form
   172,814/254,144 = 254,144/x
3. Step 3: Cross multiply
   172,814x = 254,144 × 254,144
4. Step 4: Simplify right side
   172,814x = 64,589,172,736
5. Step 5: Solve for x
   x = 64,589,172,736/172,814
6. Step 6: Final answer
   x = 373,749.65