Finding the Third Proportional to 81,893 and 173,627

Step by Step Solution

1. Step 1: Write the proportion equation
   81,893 : 173,627 = 173,627 : x
2. Step 2: Convert to fraction form
   81,893/173,627 = 173,627/x
3. Step 3: Cross multiply
   81,893x = 173,627 × 173,627
4. Step 4: Simplify right side
   81,893x = 30,146,335,129
5. Step 5: Solve for x
   x = 30,146,335,129/81,893
6. Step 6: Final answer
   x = 368,118.58