Finding the Third Proportional to 118,831 and 185,537

Step by Step Solution

1. Step 1: Write the proportion equation
   118,831 : 185,537 = 185,537 : x
2. Step 2: Convert to fraction form
   118,831/185,537 = 185,537/x
3. Step 3: Cross multiply
   118,831x = 185,537 × 185,537
4. Step 4: Simplify right side
   118,831x = 34,423,978,369
5. Step 5: Solve for x
   x = 34,423,978,369/118,831
6. Step 6: Final answer
   x = 289,688.54