Finding the Third Proportional to 645,820 and 1,407,892

Step by Step Solution

1. Step 1: Write the proportion equation
   645,820 : 1,407,892 = 1,407,892 : x
2. Step 2: Convert to fraction form
   645,820/1,407,892 = 1,407,892/x
3. Step 3: Cross multiply
   645,820x = 1,407,892 × 1,407,892
4. Step 4: Simplify right side
   645,820x = 1,982,159,883,664
5. Step 5: Solve for x
   x = 1,982,159,883,664/645,820
6. Step 6: Final answer
   x = 3,069,214.15