Finding the Third Proportional to 190,920 and 259,164

Step by Step Solution

1. Step 1: Write the proportion equation
   190,920 : 259,164 = 259,164 : x
2. Step 2: Convert to fraction form
   190,920/259,164 = 259,164/x
3. Step 3: Cross multiply
   190,920x = 259,164 × 259,164
4. Step 4: Simplify right side
   190,920x = 67,165,978,896
5. Step 5: Solve for x
   x = 67,165,978,896/190,920
6. Step 6: Final answer
   x = 351,801.69