Finding the Third Proportional to 580,506 and 1,365,945

Step by Step Solution

1. Step 1: Write the proportion equation
   580,506 : 1,365,945 = 1,365,945 : x
2. Step 2: Convert to fraction form
   580,506/1,365,945 = 1,365,945/x
3. Step 3: Cross multiply
   580,506x = 1,365,945 × 1,365,945
4. Step 4: Simplify right side
   580,506x = 1,865,805,743,025
5. Step 5: Solve for x
   x = 1,865,805,743,025/580,506
6. Step 6: Final answer
   x = 3,214,102.43