Finding the Third Proportional to 78,343 and 172,238

Step by Step Solution

1. Step 1: Write the proportion equation
   78,343 : 172,238 = 172,238 : x
2. Step 2: Convert to fraction form
   78,343/172,238 = 172,238/x
3. Step 3: Cross multiply
   78,343x = 172,238 × 172,238
4. Step 4: Simplify right side
   78,343x = 29,665,928,644
5. Step 5: Solve for x
   x = 29,665,928,644/78,343
6. Step 6: Final answer
   x = 378,667.25