Finding the Third Proportional to 52,781 and 114,370

Step by Step Solution

1. Step 1: Write the proportion equation
   52,781 : 114,370 = 114,370 : x
2. Step 2: Convert to fraction form
   52,781/114,370 = 114,370/x
3. Step 3: Cross multiply
   52,781x = 114,370 × 114,370
4. Step 4: Simplify right side
   52,781x = 13,080,496,900
5. Step 5: Solve for x
   x = 13,080,496,900/52,781
6. Step 6: Final answer
   x = 247,825.86