Finding the Third Proportional to 105,380 and 201,040

Step by Step Solution

1. Step 1: Write the proportion equation
   105,380 : 201,040 = 201,040 : x
2. Step 2: Convert to fraction form
   105,380/201,040 = 201,040/x
3. Step 3: Cross multiply
   105,380x = 201,040 × 201,040
4. Step 4: Simplify right side
   105,380x = 40,417,081,600
5. Step 5: Solve for x
   x = 40,417,081,600/105,380
6. Step 6: Final answer
   x = 383,536.55