Finding the Third Proportional to 280,334 and 402,969

Step by Step Solution

1. Step 1: Write the proportion equation
   280,334 : 402,969 = 402,969 : x
2. Step 2: Convert to fraction form
   280,334/402,969 = 402,969/x
3. Step 3: Cross multiply
   280,334x = 402,969 × 402,969
4. Step 4: Simplify right side
   280,334x = 162,384,014,961
5. Step 5: Solve for x
   x = 162,384,014,961/280,334
6. Step 6: Final answer
   x = 579,251.95