Finding the Third Proportional to 53,664 and 116,549

Step by Step Solution

1. Step 1: Write the proportion equation
   53,664 : 116,549 = 116,549 : x
2. Step 2: Convert to fraction form
   53,664/116,549 = 116,549/x
3. Step 3: Cross multiply
   53,664x = 116,549 × 116,549
4. Step 4: Simplify right side
   53,664x = 13,583,669,401
5. Step 5: Solve for x
   x = 13,583,669,401/53,664
6. Step 6: Final answer
   x = 253,124.43