Finding the Third Proportional to 298,082 and 460,516

Step by Step Solution

1. Step 1: Write the proportion equation
   298,082 : 460,516 = 460,516 : x
2. Step 2: Convert to fraction form
   298,082/460,516 = 460,516/x
3. Step 3: Cross multiply
   298,082x = 460,516 × 460,516
4. Step 4: Simplify right side
   298,082x = 212,074,986,256
5. Step 5: Solve for x
   x = 212,074,986,256/298,082
6. Step 6: Final answer
   x = 711,465.26