Finding the Third Proportional to 86,202 and 123,408

Step by Step Solution

1. Step 1: Write the proportion equation
   86,202 : 123,408 = 123,408 : x
2. Step 2: Convert to fraction form
   86,202/123,408 = 123,408/x
3. Step 3: Cross multiply
   86,202x = 123,408 × 123,408
4. Step 4: Simplify right side
   86,202x = 15,229,534,464
5. Step 5: Solve for x
   x = 15,229,534,464/86,202
6. Step 6: Final answer
   x = 176,672.63