Finding the Third Proportional to 51,942 and 112,996

Step by Step Solution

1. Step 1: Write the proportion equation
   51,942 : 112,996 = 112,996 : x
2. Step 2: Convert to fraction form
   51,942/112,996 = 112,996/x
3. Step 3: Cross multiply
   51,942x = 112,996 × 112,996
4. Step 4: Simplify right side
   51,942x = 12,768,096,016
5. Step 5: Solve for x
   x = 12,768,096,016/51,942
6. Step 6: Final answer
   x = 245,814.49