Finding the Third Proportional to 210,384 and 456,436

Step by Step Solution

1. Step 1: Write the proportion equation
   210,384 : 456,436 = 456,436 : x
2. Step 2: Convert to fraction form
   210,384/456,436 = 456,436/x
3. Step 3: Cross multiply
   210,384x = 456,436 × 456,436
4. Step 4: Simplify right side
   210,384x = 208,333,822,096
5. Step 5: Solve for x
   x = 208,333,822,096/210,384
6. Step 6: Final answer
   x = 990,255.07