Finding the Third Proportional to 460,084 and 674,654

Step by Step Solution

1. Step 1: Write the proportion equation
   460,084 : 674,654 = 674,654 : x
2. Step 2: Convert to fraction form
   460,084/674,654 = 674,654/x
3. Step 3: Cross multiply
   460,084x = 674,654 × 674,654
4. Step 4: Simplify right side
   460,084x = 455,158,019,716
5. Step 5: Solve for x
   x = 455,158,019,716/460,084
6. Step 6: Final answer
   x = 989,293.30