Finding the Third Proportional to 52,137 and 113,835

Step by Step Solution

1. Step 1: Write the proportion equation
   52,137 : 113,835 = 113,835 : x
2. Step 2: Convert to fraction form
   52,137/113,835 = 113,835/x
3. Step 3: Cross multiply
   52,137x = 113,835 × 113,835
4. Step 4: Simplify right side
   52,137x = 12,958,407,225
5. Step 5: Solve for x
   x = 12,958,407,225/52,137
6. Step 6: Final answer
   x = 248,545.32