Finding the Third Proportional to 207,878 and 456,670

Step by Step Solution

1. Step 1: Write the proportion equation
   207,878 : 456,670 = 456,670 : x
2. Step 2: Convert to fraction form
   207,878/456,670 = 456,670/x
3. Step 3: Cross multiply
   207,878x = 456,670 × 456,670
4. Step 4: Simplify right side
   207,878x = 208,547,488,900
5. Step 5: Solve for x
   x = 208,547,488,900/207,878
6. Step 6: Final answer
   x = 1,003,220.59