Finding the Third Proportional to 1,005,548 and 1,406,564

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005,548 : 1,406,564 = 1,406,564 : x
2. Step 2: Convert to fraction form
   1,005,548/1,406,564 = 1,406,564/x
3. Step 3: Cross multiply
   1,005,548x = 1,406,564 × 1,406,564
4. Step 4: Simplify right side
   1,005,548x = 1,978,422,286,096
5. Step 5: Solve for x
   x = 1,978,422,286,096/1,005,548
6. Step 6: Final answer
   x = 1,967,506.56