Finding the Third Proportional to 280,269 and 434,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,269 : 434,173.50 = 434,173.50 : x
2. Step 2: Convert to fraction form
   280,269/434,173.50 = 434,173.50/x
3. Step 3: Cross multiply
   280,269x = 434,173.50 × 434,173.50
4. Step 4: Simplify right side
   280,269x = 188,506,628,102.25
5. Step 5: Solve for x
   x = 188,506,628,102.25/280,269
6. Step 6: Final answer
   x = 672,591.79