Finding the Third Proportional to 172,192 and 259,280

Step by Step Solution

1. Step 1: Write the proportion equation
   172,192 : 259,280 = 259,280 : x
2. Step 2: Convert to fraction form
   172,192/259,280 = 259,280/x
3. Step 3: Cross multiply
   172,192x = 259,280 × 259,280
4. Step 4: Simplify right side
   172,192x = 67,226,118,400
5. Step 5: Solve for x
   x = 67,226,118,400/172,192
6. Step 6: Final answer
   x = 390,413.71