Finding the Third Proportional to 79,636 and 173,848

Step by Step Solution

1. Step 1: Write the proportion equation
   79,636 : 173,848 = 173,848 : x
2. Step 2: Convert to fraction form
   79,636/173,848 = 173,848/x
3. Step 3: Cross multiply
   79,636x = 173,848 × 173,848
4. Step 4: Simplify right side
   79,636x = 30,223,127,104
5. Step 5: Solve for x
   x = 30,223,127,104/79,636
6. Step 6: Final answer
   x = 379,515.89