Finding the Third Proportional to 381,500 and 589,784

Step by Step Solution

1. Step 1: Write the proportion equation
   381,500 : 589,784 = 589,784 : x
2. Step 2: Convert to fraction form
   381,500/589,784 = 589,784/x
3. Step 3: Cross multiply
   381,500x = 589,784 × 589,784
4. Step 4: Simplify right side
   381,500x = 347,845,166,656
5. Step 5: Solve for x
   x = 347,845,166,656/381,500
6. Step 6: Final answer
   x = 911,782.87