Finding the Third Proportional to 123,784 and 289,224

Step by Step Solution

1. Step 1: Write the proportion equation
   123,784 : 289,224 = 289,224 : x
2. Step 2: Convert to fraction form
   123,784/289,224 = 289,224/x
3. Step 3: Cross multiply
   123,784x = 289,224 × 289,224
4. Step 4: Simplify right side
   123,784x = 83,650,522,176
5. Step 5: Solve for x
   x = 83,650,522,176/123,784
6. Step 6: Final answer
   x = 675,778.15