Finding the Third Proportional to 83,496 and 172,512

Step by Step Solution

1. Step 1: Write the proportion equation
   83,496 : 172,512 = 172,512 : x
2. Step 2: Convert to fraction form
   83,496/172,512 = 172,512/x
3. Step 3: Cross multiply
   83,496x = 172,512 × 172,512
4. Step 4: Simplify right side
   83,496x = 29,760,390,144
5. Step 5: Solve for x
   x = 29,760,390,144/83,496
6. Step 6: Final answer
   x = 356,428.93