Finding the Third Proportional to 52,182 and 114,111

Step by Step Solution

1. Step 1: Write the proportion equation
   52,182 : 114,111 = 114,111 : x
2. Step 2: Convert to fraction form
   52,182/114,111 = 114,111/x
3. Step 3: Cross multiply
   52,182x = 114,111 × 114,111
4. Step 4: Simplify right side
   52,182x = 13,021,320,321
5. Step 5: Solve for x
   x = 13,021,320,321/52,182
6. Step 6: Final answer
   x = 249,536.63