Finding the Third Proportional to 103,636 and 185,944

Step by Step Solution

1. Step 1: Write the proportion equation
   103,636 : 185,944 = 185,944 : x
2. Step 2: Convert to fraction form
   103,636/185,944 = 185,944/x
3. Step 3: Cross multiply
   103,636x = 185,944 × 185,944
4. Step 4: Simplify right side
   103,636x = 34,575,171,136
5. Step 5: Solve for x
   x = 34,575,171,136/103,636
6. Step 6: Final answer
   x = 333,621.24