Finding the Third Proportional to 269,824.50 and 584,361

Step by Step Solution

1. Step 1: Write the proportion equation
   269,824.50 : 584,361 = 584,361 : x
2. Step 2: Convert to fraction form
   269,824.50/584,361 = 584,361/x
3. Step 3: Cross multiply
   269,824.50x = 584,361 × 584,361
4. Step 4: Simplify right side
   269,824.50x = 341,477,778,321
5. Step 5: Solve for x
   x = 341,477,778,321/269,824.50
6. Step 6: Final answer
   x = 1,265,555.12