Finding the Third Proportional to 117,007 and 173,789

Step by Step Solution

1. Step 1: Write the proportion equation
   117,007 : 173,789 = 173,789 : x
2. Step 2: Convert to fraction form
   117,007/173,789 = 173,789/x
3. Step 3: Cross multiply
   117,007x = 173,789 × 173,789
4. Step 4: Simplify right side
   117,007x = 30,202,616,521
5. Step 5: Solve for x
   x = 30,202,616,521/117,007
6. Step 6: Final answer
   x = 258,126.58