Finding the Third Proportional to 282,895.50 and 384,426

Step by Step Solution

1. Step 1: Write the proportion equation
   282,895.50 : 384,426 = 384,426 : x
2. Step 2: Convert to fraction form
   282,895.50/384,426 = 384,426/x
3. Step 3: Cross multiply
   282,895.50x = 384,426 × 384,426
4. Step 4: Simplify right side
   282,895.50x = 147,783,349,476
5. Step 5: Solve for x
   x = 147,783,349,476/282,895.50
6. Step 6: Final answer
   x = 522,395.55