Finding the Third Proportional to 52,191 and 114,399

Step by Step Solution

1. Step 1: Write the proportion equation
   52,191 : 114,399 = 114,399 : x
2. Step 2: Convert to fraction form
   52,191/114,399 = 114,399/x
3. Step 3: Cross multiply
   52,191x = 114,399 × 114,399
4. Step 4: Simplify right side
   52,191x = 13,087,131,201
5. Step 5: Solve for x
   x = 13,087,131,201/52,191
6. Step 6: Final answer
   x = 250,754.56