Finding the Third Proportional to 85,842 and 185,233

Step by Step Solution

1. Step 1: Write the proportion equation
   85,842 : 185,233 = 185,233 : x
2. Step 2: Convert to fraction form
   85,842/185,233 = 185,233/x
3. Step 3: Cross multiply
   85,842x = 185,233 × 185,233
4. Step 4: Simplify right side
   85,842x = 34,311,264,289
5. Step 5: Solve for x
   x = 34,311,264,289/85,842
6. Step 6: Final answer
   x = 399,702.53