Finding the Third Proportional to 172,537 and 352,116

Step by Step Solution

1. Step 1: Write the proportion equation
   172,537 : 352,116 = 352,116 : x
2. Step 2: Convert to fraction form
   172,537/352,116 = 352,116/x
3. Step 3: Cross multiply
   172,537x = 352,116 × 352,116
4. Step 4: Simplify right side
   172,537x = 123,985,677,456
5. Step 5: Solve for x
   x = 123,985,677,456/172,537
6. Step 6: Final answer
   x = 718,603.42