Finding the Third Proportional to 53,796 and 109,968

Step by Step Solution

1. Step 1: Write the proportion equation
   53,796 : 109,968 = 109,968 : x
2. Step 2: Convert to fraction form
   53,796/109,968 = 109,968/x
3. Step 3: Cross multiply
   53,796x = 109,968 × 109,968
4. Step 4: Simplify right side
   53,796x = 12,092,961,024
5. Step 5: Solve for x
   x = 12,092,961,024/53,796
6. Step 6: Final answer
   x = 224,792.94