Finding the Third Proportional to 1,021,536 and 1,546,506

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021,536 : 1,546,506 = 1,546,506 : x
2. Step 2: Convert to fraction form
   1,021,536/1,546,506 = 1,546,506/x
3. Step 3: Cross multiply
   1,021,536x = 1,546,506 × 1,546,506
4. Step 4: Simplify right side
   1,021,536x = 2,391,680,808,036
5. Step 5: Solve for x
   x = 2,391,680,808,036/1,021,536
6. Step 6: Final answer
   x = 2,341,259.44