Finding the Third Proportional to 103,665 and 191,756

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 191,756 = 191,756 : x
2. Step 2: Convert to fraction form
   103,665/191,756 = 191,756/x
3. Step 3: Cross multiply
   103,665x = 191,756 × 191,756
4. Step 4: Simplify right side
   103,665x = 36,770,363,536
5. Step 5: Solve for x
   x = 36,770,363,536/103,665
6. Step 6: Final answer
   x = 354,703.74