Finding the Third Proportional to 52,682 and 114,832

Step by Step Solution

1. Step 1: Write the proportion equation
   52,682 : 114,832 = 114,832 : x
2. Step 2: Convert to fraction form
   52,682/114,832 = 114,832/x
3. Step 3: Cross multiply
   52,682x = 114,832 × 114,832
4. Step 4: Simplify right side
   52,682x = 13,186,388,224
5. Step 5: Solve for x
   x = 13,186,388,224/52,682
6. Step 6: Final answer
   x = 250,301.59