Finding the Third Proportional to 59,112 and 125,892

Step by Step Solution

1. Step 1: Write the proportion equation
   59,112 : 125,892 = 125,892 : x
2. Step 2: Convert to fraction form
   59,112/125,892 = 125,892/x
3. Step 3: Cross multiply
   59,112x = 125,892 × 125,892
4. Step 4: Simplify right side
   59,112x = 15,848,795,664
5. Step 5: Solve for x
   x = 15,848,795,664/59,112
6. Step 6: Final answer
   x = 268,114.69