Finding the Third Proportional to 83,182 and 182,956

Step by Step Solution

1. Step 1: Write the proportion equation
   83,182 : 182,956 = 182,956 : x
2. Step 2: Convert to fraction form
   83,182/182,956 = 182,956/x
3. Step 3: Cross multiply
   83,182x = 182,956 × 182,956
4. Step 4: Simplify right side
   83,182x = 33,472,897,936
5. Step 5: Solve for x
   x = 33,472,897,936/83,182
6. Step 6: Final answer
   x = 402,405.54