Finding the Third Proportional to 52,007 and 111,793

Step by Step Solution

1. Step 1: Write the proportion equation
   52,007 : 111,793 = 111,793 : x
2. Step 2: Convert to fraction form
   52,007/111,793 = 111,793/x
3. Step 3: Cross multiply
   52,007x = 111,793 × 111,793
4. Step 4: Simplify right side
   52,007x = 12,497,674,849
5. Step 5: Solve for x
   x = 12,497,674,849/52,007
6. Step 6: Final answer
   x = 240,307.55