Finding the Third Proportional to 92,638 and 188,549

Step by Step Solution

1. Step 1: Write the proportion equation
   92,638 : 188,549 = 188,549 : x
2. Step 2: Convert to fraction form
   92,638/188,549 = 188,549/x
3. Step 3: Cross multiply
   92,638x = 188,549 × 188,549
4. Step 4: Simplify right side
   92,638x = 35,550,725,401
5. Step 5: Solve for x
   x = 35,550,725,401/92,638
6. Step 6: Final answer
   x = 383,759.64