Finding the Third Proportional to 117,531 and 173,826

Step by Step Solution

1. Step 1: Write the proportion equation
   117,531 : 173,826 = 173,826 : x
2. Step 2: Convert to fraction form
   117,531/173,826 = 173,826/x
3. Step 3: Cross multiply
   117,531x = 173,826 × 173,826
4. Step 4: Simplify right side
   117,531x = 30,215,478,276
5. Step 5: Solve for x
   x = 30,215,478,276/117,531
6. Step 6: Final answer
   x = 257,085.18