Finding the Third Proportional to 102,384 and 212,942.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,384 : 212,942.25 = 212,942.25 : x
2. Step 2: Convert to fraction form
   102,384/212,942.25 = 212,942.25/x
3. Step 3: Cross multiply
   102,384x = 212,942.25 × 212,942.25
4. Step 4: Simplify right side
   102,384x = 45,344,401,835.06
5. Step 5: Solve for x
   x = 45,344,401,835.06/102,384
6. Step 6: Final answer
   x = 442,885.63