Finding the Third Proportional to 52,480 and 114,176

Step by Step Solution

1. Step 1: Write the proportion equation
   52,480 : 114,176 = 114,176 : x
2. Step 2: Convert to fraction form
   52,480/114,176 = 114,176/x
3. Step 3: Cross multiply
   52,480x = 114,176 × 114,176
4. Step 4: Simplify right side
   52,480x = 13,036,158,976
5. Step 5: Solve for x
   x = 13,036,158,976/52,480
6. Step 6: Final answer
   x = 248,402.42