Finding the Third Proportional to 117,005 and 173,786

Step by Step Solution

1. Step 1: Write the proportion equation
   117,005 : 173,786 = 173,786 : x
2. Step 2: Convert to fraction form
   117,005/173,786 = 173,786/x
3. Step 3: Cross multiply
   117,005x = 173,786 × 173,786
4. Step 4: Simplify right side
   117,005x = 30,201,573,796
5. Step 5: Solve for x
   x = 30,201,573,796/117,005
6. Step 6: Final answer
   x = 258,122.08