Finding the Third Proportional to 90,384 and 139,824

Step by Step Solution

1. Step 1: Write the proportion equation
   90,384 : 139,824 = 139,824 : x
2. Step 2: Convert to fraction form
   90,384/139,824 = 139,824/x
3. Step 3: Cross multiply
   90,384x = 139,824 × 139,824
4. Step 4: Simplify right side
   90,384x = 19,550,750,976
5. Step 5: Solve for x
   x = 19,550,750,976/90,384
6. Step 6: Final answer
   x = 216,307.65