Finding the Third Proportional to 175,536 and 384,408

Step by Step Solution

1. Step 1: Write the proportion equation
   175,536 : 384,408 = 384,408 : x
2. Step 2: Convert to fraction form
   175,536/384,408 = 384,408/x
3. Step 3: Cross multiply
   175,536x = 384,408 × 384,408
4. Step 4: Simplify right side
   175,536x = 147,769,510,464
5. Step 5: Solve for x
   x = 147,769,510,464/175,536
6. Step 6: Final answer
   x = 841,818.83