Finding the Third Proportional to 52,137 and 114,075

Step by Step Solution

1. Step 1: Write the proportion equation
   52,137 : 114,075 = 114,075 : x
2. Step 2: Convert to fraction form
   52,137/114,075 = 114,075/x
3. Step 3: Cross multiply
   52,137x = 114,075 × 114,075
4. Step 4: Simplify right side
   52,137x = 13,013,105,625
5. Step 5: Solve for x
   x = 13,013,105,625/52,137
6. Step 6: Final answer
   x = 249,594.45