Finding the Third Proportional to 261,517 and 404,102

Step by Step Solution

1. Step 1: Write the proportion equation
   261,517 : 404,102 = 404,102 : x
2. Step 2: Convert to fraction form
   261,517/404,102 = 404,102/x
3. Step 3: Cross multiply
   261,517x = 404,102 × 404,102
4. Step 4: Simplify right side
   261,517x = 163,298,426,404
5. Step 5: Solve for x
   x = 163,298,426,404/261,517
6. Step 6: Final answer
   x = 624,427.58