Finding the Third Proportional to 300,146 and 655,588

Step by Step Solution

1. Step 1: Write the proportion equation
   300,146 : 655,588 = 655,588 : x
2. Step 2: Convert to fraction form
   300,146/655,588 = 655,588/x
3. Step 3: Cross multiply
   300,146x = 655,588 × 655,588
4. Step 4: Simplify right side
   300,146x = 429,795,625,744
5. Step 5: Solve for x
   x = 429,795,625,744/300,146
6. Step 6: Final answer
   x = 1,431,955.20