Finding the Third Proportional to 295,744 and 455,040

Step by Step Solution

1. Step 1: Write the proportion equation
   295,744 : 455,040 = 455,040 : x
2. Step 2: Convert to fraction form
   295,744/455,040 = 455,040/x
3. Step 3: Cross multiply
   295,744x = 455,040 × 455,040
4. Step 4: Simplify right side
   295,744x = 207,061,401,600
5. Step 5: Solve for x
   x = 207,061,401,600/295,744
6. Step 6: Final answer
   x = 700,137.29