Finding the Third Proportional to 103,408 and 140,208

Step by Step Solution

1. Step 1: Write the proportion equation
   103,408 : 140,208 = 140,208 : x
2. Step 2: Convert to fraction form
   103,408/140,208 = 140,208/x
3. Step 3: Cross multiply
   103,408x = 140,208 × 140,208
4. Step 4: Simplify right side
   103,408x = 19,658,283,264
5. Step 5: Solve for x
   x = 19,658,283,264/103,408
6. Step 6: Final answer
   x = 190,104.09