Finding the Third Proportional to 210,564 and 460,492

Step by Step Solution

1. Step 1: Write the proportion equation
   210,564 : 460,492 = 460,492 : x
2. Step 2: Convert to fraction form
   210,564/460,492 = 460,492/x
3. Step 3: Cross multiply
   210,564x = 460,492 × 460,492
4. Step 4: Simplify right side
   210,564x = 212,052,882,064
5. Step 5: Solve for x
   x = 212,052,882,064/210,564
6. Step 6: Final answer
   x = 1,007,070.92