Finding the Third Proportional to 208,196 and 462,976

Step by Step Solution

1. Step 1: Write the proportion equation
   208,196 : 462,976 = 462,976 : x
2. Step 2: Convert to fraction form
   208,196/462,976 = 462,976/x
3. Step 3: Cross multiply
   208,196x = 462,976 × 462,976
4. Step 4: Simplify right side
   208,196x = 214,346,776,576
5. Step 5: Solve for x
   x = 214,346,776,576/208,196
6. Step 6: Final answer
   x = 1,029,543.20