Finding the Third Proportional to 163,564 and 333,140

Step by Step Solution

1. Step 1: Write the proportion equation
   163,564 : 333,140 = 333,140 : x
2. Step 2: Convert to fraction form
   163,564/333,140 = 333,140/x
3. Step 3: Cross multiply
   163,564x = 333,140 × 333,140
4. Step 4: Simplify right side
   163,564x = 110,982,259,600
5. Step 5: Solve for x
   x = 110,982,259,600/163,564
6. Step 6: Final answer
   x = 678,524.98