Finding the Third Proportional to 289,656 and 404,658

Step by Step Solution

1. Step 1: Write the proportion equation
   289,656 : 404,658 = 404,658 : x
2. Step 2: Convert to fraction form
   289,656/404,658 = 404,658/x
3. Step 3: Cross multiply
   289,656x = 404,658 × 404,658
4. Step 4: Simplify right side
   289,656x = 163,748,096,964
5. Step 5: Solve for x
   x = 163,748,096,964/289,656
6. Step 6: Final answer
   x = 565,319.20