Finding the Third Proportional to 1,271,657 and 1,782,223

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271,657 : 1,782,223 = 1,782,223 : x
2. Step 2: Convert to fraction form
   1,271,657/1,782,223 = 1,782,223/x
3. Step 3: Cross multiply
   1,271,657x = 1,782,223 × 1,782,223
4. Step 4: Simplify right side
   1,271,657x = 3,176,318,821,729
5. Step 5: Solve for x
   x = 3,176,318,821,729/1,271,657
6. Step 6: Final answer
   x = 2,497,779.53