Finding the Third Proportional to 85,877 and 187,008

Step by Step Solution

1. Step 1: Write the proportion equation
   85,877 : 187,008 = 187,008 : x
2. Step 2: Convert to fraction form
   85,877/187,008 = 187,008/x
3. Step 3: Cross multiply
   85,877x = 187,008 × 187,008
4. Step 4: Simplify right side
   85,877x = 34,971,992,064
5. Step 5: Solve for x
   x = 34,971,992,064/85,877
6. Step 6: Final answer
   x = 407,233.51