Finding the Third Proportional to 1,005,543 and 1,406,558

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005,543 : 1,406,558 = 1,406,558 : x
2. Step 2: Convert to fraction form
   1,005,543/1,406,558 = 1,406,558/x
3. Step 3: Cross multiply
   1,005,543x = 1,406,558 × 1,406,558
4. Step 4: Simplify right side
   1,005,543x = 1,978,405,407,364
5. Step 5: Solve for x
   x = 1,978,405,407,364/1,005,543
6. Step 6: Final answer
   x = 1,967,499.56