Finding the Third Proportional to 78,886 and 173,549

Step by Step Solution

1. Step 1: Write the proportion equation
   78,886 : 173,549 = 173,549 : x
2. Step 2: Convert to fraction form
   78,886/173,549 = 173,549/x
3. Step 3: Cross multiply
   78,886x = 173,549 × 173,549
4. Step 4: Simplify right side
   78,886x = 30,119,255,401
5. Step 5: Solve for x
   x = 30,119,255,401/78,886
6. Step 6: Final answer
   x = 381,807.36