Finding the Third Proportional to 208,097 and 456,698

Step by Step Solution

1. Step 1: Write the proportion equation
   208,097 : 456,698 = 456,698 : x
2. Step 2: Convert to fraction form
   208,097/456,698 = 456,698/x
3. Step 3: Cross multiply
   208,097x = 456,698 × 456,698
4. Step 4: Simplify right side
   208,097x = 208,573,063,204
5. Step 5: Solve for x
   x = 208,573,063,204/208,097
6. Step 6: Final answer
   x = 1,002,287.70