Finding the Third Proportional to 103,638 and 185,955

Step by Step Solution

1. Step 1: Write the proportion equation
   103,638 : 185,955 = 185,955 : x
2. Step 2: Convert to fraction form
   103,638/185,955 = 185,955/x
3. Step 3: Cross multiply
   103,638x = 185,955 × 185,955
4. Step 4: Simplify right side
   103,638x = 34,579,262,025
5. Step 5: Solve for x
   x = 34,579,262,025/103,638
6. Step 6: Final answer
   x = 333,654.28