Finding the Third Proportional to 280,154 and 402,726

Step by Step Solution

1. Step 1: Write the proportion equation
   280,154 : 402,726 = 402,726 : x
2. Step 2: Convert to fraction form
   280,154/402,726 = 402,726/x
3. Step 3: Cross multiply
   280,154x = 402,726 × 402,726
4. Step 4: Simplify right side
   280,154x = 162,188,231,076
5. Step 5: Solve for x
   x = 162,188,231,076/280,154
6. Step 6: Final answer
   x = 578,925.27