Finding the Third Proportional to 465,264 and 701,784

Step by Step Solution

1. Step 1: Write the proportion equation
   465,264 : 701,784 = 701,784 : x
2. Step 2: Convert to fraction form
   465,264/701,784 = 701,784/x
3. Step 3: Cross multiply
   465,264x = 701,784 × 701,784
4. Step 4: Simplify right side
   465,264x = 492,500,782,656
5. Step 5: Solve for x
   x = 492,500,782,656/465,264
6. Step 6: Final answer
   x = 1,058,540.49