Finding the Third Proportional to 52,588 and 114,049

Step by Step Solution

1. Step 1: Write the proportion equation
   52,588 : 114,049 = 114,049 : x
2. Step 2: Convert to fraction form
   52,588/114,049 = 114,049/x
3. Step 3: Cross multiply
   52,588x = 114,049 × 114,049
4. Step 4: Simplify right side
   52,588x = 13,007,174,401
5. Step 5: Solve for x
   x = 13,007,174,401/52,588
6. Step 6: Final answer
   x = 247,341.11