Finding the Third Proportional to 208,764 and 465,338

Step by Step Solution

1. Step 1: Write the proportion equation
   208,764 : 465,338 = 465,338 : x
2. Step 2: Convert to fraction form
   208,764/465,338 = 465,338/x
3. Step 3: Cross multiply
   208,764x = 465,338 × 465,338
4. Step 4: Simplify right side
   208,764x = 216,539,454,244
5. Step 5: Solve for x
   x = 216,539,454,244/208,764
6. Step 6: Final answer
   x = 1,037,245.19