Finding the Third Proportional to 465,932 and 705,916

Step by Step Solution

1. Step 1: Write the proportion equation
   465,932 : 705,916 = 705,916 : x
2. Step 2: Convert to fraction form
   465,932/705,916 = 705,916/x
3. Step 3: Cross multiply
   465,932x = 705,916 × 705,916
4. Step 4: Simplify right side
   465,932x = 498,317,399,056
5. Step 5: Solve for x
   x = 498,317,399,056/465,932
6. Step 6: Final answer
   x = 1,069,506.71