Finding the Third Proportional to 116,826 and 177,549

Step by Step Solution

1. Step 1: Write the proportion equation
   116,826 : 177,549 = 177,549 : x
2. Step 2: Convert to fraction form
   116,826/177,549 = 177,549/x
3. Step 3: Cross multiply
   116,826x = 177,549 × 177,549
4. Step 4: Simplify right side
   116,826x = 31,523,647,401
5. Step 5: Solve for x
   x = 31,523,647,401/116,826
6. Step 6: Final answer
   x = 269,834.18