Finding the Third Proportional to 686,189 and 1,505,299

Step by Step Solution

1. Step 1: Write the proportion equation
   686,189 : 1,505,299 = 1,505,299 : x
2. Step 2: Convert to fraction form
   686,189/1,505,299 = 1,505,299/x
3. Step 3: Cross multiply
   686,189x = 1,505,299 × 1,505,299
4. Step 4: Simplify right side
   686,189x = 2,265,925,079,401
5. Step 5: Solve for x
   x = 2,265,925,079,401/686,189
6. Step 6: Final answer
   x = 3,302,188.00