Finding the Third Proportional to 52,866 and 114,442

Step by Step Solution

1. Step 1: Write the proportion equation
   52,866 : 114,442 = 114,442 : x
2. Step 2: Convert to fraction form
   52,866/114,442 = 114,442/x
3. Step 3: Cross multiply
   52,866x = 114,442 × 114,442
4. Step 4: Simplify right side
   52,866x = 13,096,971,364
5. Step 5: Solve for x
   x = 13,096,971,364/52,866
6. Step 6: Final answer
   x = 247,739.03