Finding the Third Proportional to 117,815 and 182,020

Step by Step Solution

1. Step 1: Write the proportion equation
   117,815 : 182,020 = 182,020 : x
2. Step 2: Convert to fraction form
   117,815/182,020 = 182,020/x
3. Step 3: Cross multiply
   117,815x = 182,020 × 182,020
4. Step 4: Simplify right side
   117,815x = 33,131,280,400
5. Step 5: Solve for x
   x = 33,131,280,400/117,815
6. Step 6: Final answer
   x = 281,214.45