Finding the Third Proportional to 85,106 and 182,846

Step by Step Solution

1. Step 1: Write the proportion equation
   85,106 : 182,846 = 182,846 : x
2. Step 2: Convert to fraction form
   85,106/182,846 = 182,846/x
3. Step 3: Cross multiply
   85,106x = 182,846 × 182,846
4. Step 4: Simplify right side
   85,106x = 33,432,659,716
5. Step 5: Solve for x
   x = 33,432,659,716/85,106
6. Step 6: Final answer
   x = 392,835.52