Finding the Third Proportional to 138,408 and 301,116

Step by Step Solution

1. Step 1: Write the proportion equation
   138,408 : 301,116 = 301,116 : x
2. Step 2: Convert to fraction form
   138,408/301,116 = 301,116/x
3. Step 3: Cross multiply
   138,408x = 301,116 × 301,116
4. Step 4: Simplify right side
   138,408x = 90,670,845,456
5. Step 5: Solve for x
   x = 90,670,845,456/138,408
6. Step 6: Final answer
   x = 655,098.30