Finding the Third Proportional to 49,311 and 103,590

Step by Step Solution

1. Step 1: Write the proportion equation
   49,311 : 103,590 = 103,590 : x
2. Step 2: Convert to fraction form
   49,311/103,590 = 103,590/x
3. Step 3: Cross multiply
   49,311x = 103,590 × 103,590
4. Step 4: Simplify right side
   49,311x = 10,730,888,100
5. Step 5: Solve for x
   x = 10,730,888,100/49,311
6. Step 6: Final answer
   x = 217,616.52