Finding the Third Proportional to 580,506 and 897,003

Step by Step Solution

1. Step 1: Write the proportion equation
   580,506 : 897,003 = 897,003 : x
2. Step 2: Convert to fraction form
   580,506/897,003 = 897,003/x
3. Step 3: Cross multiply
   580,506x = 897,003 × 897,003
4. Step 4: Simplify right side
   580,506x = 804,614,382,009
5. Step 5: Solve for x
   x = 804,614,382,009/580,506
6. Step 6: Final answer
   x = 1,386,056.96