Finding the Third Proportional to 359,361 and 563,726

Step by Step Solution

1. Step 1: Write the proportion equation
   359,361 : 563,726 = 563,726 : x
2. Step 2: Convert to fraction form
   359,361/563,726 = 563,726/x
3. Step 3: Cross multiply
   359,361x = 563,726 × 563,726
4. Step 4: Simplify right side
   359,361x = 317,787,003,076
5. Step 5: Solve for x
   x = 317,787,003,076/359,361
6. Step 6: Final answer
   x = 884,311.33