Finding the Third Proportional to 138,674 and 182,111

Step by Step Solution

1. Step 1: Write the proportion equation
   138,674 : 182,111 = 182,111 : x
2. Step 2: Convert to fraction form
   138,674/182,111 = 182,111/x
3. Step 3: Cross multiply
   138,674x = 182,111 × 182,111
4. Step 4: Simplify right side
   138,674x = 33,164,416,321
5. Step 5: Solve for x
   x = 33,164,416,321/138,674
6. Step 6: Final answer
   x = 239,153.82