Finding the Third Proportional to 208,584 and 456,372

Step by Step Solution

1. Step 1: Write the proportion equation
   208,584 : 456,372 = 456,372 : x
2. Step 2: Convert to fraction form
   208,584/456,372 = 456,372/x
3. Step 3: Cross multiply
   208,584x = 456,372 × 456,372
4. Step 4: Simplify right side
   208,584x = 208,275,402,384
5. Step 5: Solve for x
   x = 208,275,402,384/208,584
6. Step 6: Final answer
   x = 998,520.51