Finding the Third Proportional to 589,774 and 890,262

Step by Step Solution

1. Step 1: Write the proportion equation
   589,774 : 890,262 = 890,262 : x
2. Step 2: Convert to fraction form
   589,774/890,262 = 890,262/x
3. Step 3: Cross multiply
   589,774x = 890,262 × 890,262
4. Step 4: Simplify right side
   589,774x = 792,566,428,644
5. Step 5: Solve for x
   x = 792,566,428,644/589,774
6. Step 6: Final answer
   x = 1,343,847.69