Finding the Third Proportional to 318,564 and 684,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   318,564 : 684,346.50 = 684,346.50 : x
2. Step 2: Convert to fraction form
   318,564/684,346.50 = 684,346.50/x
3. Step 3: Cross multiply
   318,564x = 684,346.50 × 684,346.50
4. Step 4: Simplify right side
   318,564x = 468,330,132,062.25
5. Step 5: Solve for x
   x = 468,330,132,062.25/318,564
6. Step 6: Final answer
   x = 1,470,128.87