Finding the Third Proportional to 506,820 and 1,091,643

Step by Step Solution

1. Step 1: Write the proportion equation
   506,820 : 1,091,643 = 1,091,643 : x
2. Step 2: Convert to fraction form
   506,820/1,091,643 = 1,091,643/x
3. Step 3: Cross multiply
   506,820x = 1,091,643 × 1,091,643
4. Step 4: Simplify right side
   506,820x = 1,191,684,439,449
5. Step 5: Solve for x
   x = 1,191,684,439,449/506,820
6. Step 6: Final answer
   x = 2,351,297.19