Finding the Third Proportional to 280,369 and 403,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,369 : 403,009.50 = 403,009.50 : x
2. Step 2: Convert to fraction form
   280,369/403,009.50 = 403,009.50/x
3. Step 3: Cross multiply
   280,369x = 403,009.50 × 403,009.50
4. Step 4: Simplify right side
   280,369x = 162,416,657,090.25
5. Step 5: Solve for x
   x = 162,416,657,090.25/280,369
6. Step 6: Final answer
   x = 579,296.06