Finding the Third Proportional to 46,548 and 109,836

Step by Step Solution

1. Step 1: Write the proportion equation
   46,548 : 109,836 = 109,836 : x
2. Step 2: Convert to fraction form
   46,548/109,836 = 109,836/x
3. Step 3: Cross multiply
   46,548x = 109,836 × 109,836
4. Step 4: Simplify right side
   46,548x = 12,063,946,896
5. Step 5: Solve for x
   x = 12,063,946,896/46,548
6. Step 6: Final answer
   x = 259,172.19