Finding the Third Proportional to 85,095 and 182,826

Step by Step Solution

1. Step 1: Write the proportion equation
   85,095 : 182,826 = 182,826 : x
2. Step 2: Convert to fraction form
   85,095/182,826 = 182,826/x
3. Step 3: Cross multiply
   85,095x = 182,826 × 182,826
4. Step 4: Simplify right side
   85,095x = 33,425,346,276
5. Step 5: Solve for x
   x = 33,425,346,276/85,095
6. Step 6: Final answer
   x = 392,800.36