Finding the Third Proportional to 141,856 and 209,984

Step by Step Solution

1. Step 1: Write the proportion equation
   141,856 : 209,984 = 209,984 : x
2. Step 2: Convert to fraction form
   141,856/209,984 = 209,984/x
3. Step 3: Cross multiply
   141,856x = 209,984 × 209,984
4. Step 4: Simplify right side
   141,856x = 44,093,280,256
5. Step 5: Solve for x
   x = 44,093,280,256/141,856
6. Step 6: Final answer
   x = 310,831.27