Finding the Third Proportional to 53,006 and 112,144

Step by Step Solution

1. Step 1: Write the proportion equation
   53,006 : 112,144 = 112,144 : x
2. Step 2: Convert to fraction form
   53,006/112,144 = 112,144/x
3. Step 3: Cross multiply
   53,006x = 112,144 × 112,144
4. Step 4: Simplify right side
   53,006x = 12,576,276,736
5. Step 5: Solve for x
   x = 12,576,276,736/53,006
6. Step 6: Final answer
   x = 237,261.38