Finding the Third Proportional to 297,024 and 460,144

Step by Step Solution

1. Step 1: Write the proportion equation
   297,024 : 460,144 = 460,144 : x
2. Step 2: Convert to fraction form
   297,024/460,144 = 460,144/x
3. Step 3: Cross multiply
   297,024x = 460,144 × 460,144
4. Step 4: Simplify right side
   297,024x = 211,732,500,736
5. Step 5: Solve for x
   x = 211,732,500,736/297,024
6. Step 6: Final answer
   x = 712,846.44