Finding the Third Proportional to 85,327 and 186,182

Step by Step Solution

1. Step 1: Write the proportion equation
   85,327 : 186,182 = 186,182 : x
2. Step 2: Convert to fraction form
   85,327/186,182 = 186,182/x
3. Step 3: Cross multiply
   85,327x = 186,182 × 186,182
4. Step 4: Simplify right side
   85,327x = 34,663,737,124
5. Step 5: Solve for x
   x = 34,663,737,124/85,327
6. Step 6: Final answer
   x = 406,245.82