Finding the Third Proportional to 53,136 and 113,904

Step by Step Solution

1. Step 1: Write the proportion equation
   53,136 : 113,904 = 113,904 : x
2. Step 2: Convert to fraction form
   53,136/113,904 = 113,904/x
3. Step 3: Cross multiply
   53,136x = 113,904 × 113,904
4. Step 4: Simplify right side
   53,136x = 12,974,121,216
5. Step 5: Solve for x
   x = 12,974,121,216/53,136
6. Step 6: Final answer
   x = 244,168.20