Finding the Third Proportional to 52,614 and 114,444

Step by Step Solution

1. Step 1: Write the proportion equation
   52,614 : 114,444 = 114,444 : x
2. Step 2: Convert to fraction form
   52,614/114,444 = 114,444/x
3. Step 3: Cross multiply
   52,614x = 114,444 × 114,444
4. Step 4: Simplify right side
   52,614x = 13,097,429,136
5. Step 5: Solve for x
   x = 13,097,429,136/52,614
6. Step 6: Final answer
   x = 248,934.30