Finding the Third Proportional to 210,696 and 459,264

Step by Step Solution

1. Step 1: Write the proportion equation
   210,696 : 459,264 = 459,264 : x
2. Step 2: Convert to fraction form
   210,696/459,264 = 459,264/x
3. Step 3: Cross multiply
   210,696x = 459,264 × 459,264
4. Step 4: Simplify right side
   210,696x = 210,923,421,696
5. Step 5: Solve for x
   x = 210,923,421,696/210,696
6. Step 6: Final answer
   x = 1,001,079.38