Finding the Third Proportional to 50,007 and 118,047

Step by Step Solution

1. Step 1: Write the proportion equation
   50,007 : 118,047 = 118,047 : x
2. Step 2: Convert to fraction form
   50,007/118,047 = 118,047/x
3. Step 3: Cross multiply
   50,007x = 118,047 × 118,047
4. Step 4: Simplify right side
   50,007x = 13,935,094,209
5. Step 5: Solve for x
   x = 13,935,094,209/50,007
6. Step 6: Final answer
   x = 278,662.87