Finding the Third Proportional to 384,966 and 562,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,966 : 562,819.50 = 562,819.50 : x
2. Step 2: Convert to fraction form
   384,966/562,819.50 = 562,819.50/x
3. Step 3: Cross multiply
   384,966x = 562,819.50 × 562,819.50
4. Step 4: Simplify right side
   384,966x = 316,765,789,580.25
5. Step 5: Solve for x
   x = 316,765,789,580.25/384,966
6. Step 6: Final answer
   x = 822,840.95