Finding the Third Proportional to 85,091 and 182,818

Step by Step Solution

1. Step 1: Write the proportion equation
   85,091 : 182,818 = 182,818 : x
2. Step 2: Convert to fraction form
   85,091/182,818 = 182,818/x
3. Step 3: Cross multiply
   85,091x = 182,818 × 182,818
4. Step 4: Simplify right side
   85,091x = 33,422,421,124
5. Step 5: Solve for x
   x = 33,422,421,124/85,091
6. Step 6: Final answer
   x = 392,784.44