Finding the Third Proportional to 85,092 and 187,086

Step by Step Solution

1. Step 1: Write the proportion equation
   85,092 : 187,086 = 187,086 : x
2. Step 2: Convert to fraction form
   85,092/187,086 = 187,086/x
3. Step 3: Cross multiply
   85,092x = 187,086 × 187,086
4. Step 4: Simplify right side
   85,092x = 35,001,171,396
5. Step 5: Solve for x
   x = 35,001,171,396/85,092
6. Step 6: Final answer
   x = 411,333.28