Finding the Third Proportional to 89,229 and 185,853

Step by Step Solution

1. Step 1: Write the proportion equation
   89,229 : 185,853 = 185,853 : x
2. Step 2: Convert to fraction form
   89,229/185,853 = 185,853/x
3. Step 3: Cross multiply
   89,229x = 185,853 × 185,853
4. Step 4: Simplify right side
   89,229x = 34,541,337,609
5. Step 5: Solve for x
   x = 34,541,337,609/89,229
6. Step 6: Final answer
   x = 387,108.87