Finding the Third Proportional to 86,300 and 185,408

Step by Step Solution

1. Step 1: Write the proportion equation
   86,300 : 185,408 = 185,408 : x
2. Step 2: Convert to fraction form
   86,300/185,408 = 185,408/x
3. Step 3: Cross multiply
   86,300x = 185,408 × 185,408
4. Step 4: Simplify right side
   86,300x = 34,376,126,464
5. Step 5: Solve for x
   x = 34,376,126,464/86,300
6. Step 6: Final answer
   x = 398,332.87