Finding the Third Proportional to 1,566,189 and 2,082,465

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566,189 : 2,082,465 = 2,082,465 : x
2. Step 2: Convert to fraction form
   1,566,189/2,082,465 = 2,082,465/x
3. Step 3: Cross multiply
   1,566,189x = 2,082,465 × 2,082,465
4. Step 4: Simplify right side
   1,566,189x = 4,336,660,476,225
5. Step 5: Solve for x
   x = 4,336,660,476,225/1,566,189
6. Step 6: Final answer
   x = 2,768,925.38