Finding the Third Proportional to 46,244 and 109,128

Step by Step Solution

1. Step 1: Write the proportion equation
   46,244 : 109,128 = 109,128 : x
2. Step 2: Convert to fraction form
   46,244/109,128 = 109,128/x
3. Step 3: Cross multiply
   46,244x = 109,128 × 109,128
4. Step 4: Simplify right side
   46,244x = 11,908,920,384
5. Step 5: Solve for x
   x = 11,908,920,384/46,244
6. Step 6: Final answer
   x = 257,523.58