Finding the Third Proportional to 381,460 and 560,510

Step by Step Solution

1. Step 1: Write the proportion equation
   381,460 : 560,510 = 560,510 : x
2. Step 2: Convert to fraction form
   381,460/560,510 = 560,510/x
3. Step 3: Cross multiply
   381,460x = 560,510 × 560,510
4. Step 4: Simplify right side
   381,460x = 314,171,460,100
5. Step 5: Solve for x
   x = 314,171,460,100/381,460
6. Step 6: Final answer
   x = 823,602.63