Finding the Third Proportional to 52,008 and 114,640

Step by Step Solution

1. Step 1: Write the proportion equation
   52,008 : 114,640 = 114,640 : x
2. Step 2: Convert to fraction form
   52,008/114,640 = 114,640/x
3. Step 3: Cross multiply
   52,008x = 114,640 × 114,640
4. Step 4: Simplify right side
   52,008x = 13,142,329,600
5. Step 5: Solve for x
   x = 13,142,329,600/52,008
6. Step 6: Final answer
   x = 252,698.23