Finding the Third Proportional to 345,825 and 529,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345,825 : 529,231.50 = 529,231.50 : x
2. Step 2: Convert to fraction form
   345,825/529,231.50 = 529,231.50/x
3. Step 3: Cross multiply
   345,825x = 529,231.50 × 529,231.50
4. Step 4: Simplify right side
   345,825x = 280,085,980,592.25
5. Step 5: Solve for x
   x = 280,085,980,592.25/345,825
6. Step 6: Final answer
   x = 809,906.69