Finding the Third Proportional to 49,590 and 103,296

Step by Step Solution

1. Step 1: Write the proportion equation
   49,590 : 103,296 = 103,296 : x
2. Step 2: Convert to fraction form
   49,590/103,296 = 103,296/x
3. Step 3: Cross multiply
   49,590x = 103,296 × 103,296
4. Step 4: Simplify right side
   49,590x = 10,670,063,616
5. Step 5: Solve for x
   x = 10,670,063,616/49,590
6. Step 6: Final answer
   x = 215,165.63