Finding the Third Proportional to 102,564 and 210,240

Step by Step Solution

1. Step 1: Write the proportion equation
   102,564 : 210,240 = 210,240 : x
2. Step 2: Convert to fraction form
   102,564/210,240 = 210,240/x
3. Step 3: Cross multiply
   102,564x = 210,240 × 210,240
4. Step 4: Simplify right side
   102,564x = 44,200,857,600
5. Step 5: Solve for x
   x = 44,200,857,600/102,564
6. Step 6: Final answer
   x = 430,958.79