Finding the Third Proportional to 52,536 and 114,144

Step by Step Solution

1. Step 1: Write the proportion equation
   52,536 : 114,144 = 114,144 : x
2. Step 2: Convert to fraction form
   52,536/114,144 = 114,144/x
3. Step 3: Cross multiply
   52,536x = 114,144 × 114,144
4. Step 4: Simplify right side
   52,536x = 13,028,852,736
5. Step 5: Solve for x
   x = 13,028,852,736/52,536
6. Step 6: Final answer
   x = 247,998.57