Finding the Third Proportional to 208,713 and 456,786

Step by Step Solution

1. Step 1: Write the proportion equation
   208,713 : 456,786 = 456,786 : x
2. Step 2: Convert to fraction form
   208,713/456,786 = 456,786/x
3. Step 3: Cross multiply
   208,713x = 456,786 × 456,786
4. Step 4: Simplify right side
   208,713x = 208,653,449,796
5. Step 5: Solve for x
   x = 208,653,449,796/208,713
6. Step 6: Final answer
   x = 999,714.68