Finding the Third Proportional to 436,781 and 678,500

Step by Step Solution

1. Step 1: Write the proportion equation
   436,781 : 678,500 = 678,500 : x
2. Step 2: Convert to fraction form
   436,781/678,500 = 678,500/x
3. Step 3: Cross multiply
   436,781x = 678,500 × 678,500
4. Step 4: Simplify right side
   436,781x = 460,362,250,000
5. Step 5: Solve for x
   x = 460,362,250,000/436,781
6. Step 6: Final answer
   x = 1,053,988.73