Finding the Third Proportional to 49,546 and 108,490

Step by Step Solution

1. Step 1: Write the proportion equation
   49,546 : 108,490 = 108,490 : x
2. Step 2: Convert to fraction form
   49,546/108,490 = 108,490/x
3. Step 3: Cross multiply
   49,546x = 108,490 × 108,490
4. Step 4: Simplify right side
   49,546x = 11,770,080,100
5. Step 5: Solve for x
   x = 11,770,080,100/49,546
6. Step 6: Final answer
   x = 237,558.63