Finding the Third Proportional to 400,842 and 588,116

Step by Step Solution

1. Step 1: Write the proportion equation
   400,842 : 588,116 = 588,116 : x
2. Step 2: Convert to fraction form
   400,842/588,116 = 588,116/x
3. Step 3: Cross multiply
   400,842x = 588,116 × 588,116
4. Step 4: Simplify right side
   400,842x = 345,880,429,456
5. Step 5: Solve for x
   x = 345,880,429,456/400,842
6. Step 6: Final answer
   x = 862,884.70