Finding the Third Proportional to 52,677 and 111,549

Step by Step Solution

1. Step 1: Write the proportion equation
   52,677 : 111,549 = 111,549 : x
2. Step 2: Convert to fraction form
   52,677/111,549 = 111,549/x
3. Step 3: Cross multiply
   52,677x = 111,549 × 111,549
4. Step 4: Simplify right side
   52,677x = 12,443,179,401
5. Step 5: Solve for x
   x = 12,443,179,401/52,677
6. Step 6: Final answer
   x = 236,216.55