Finding the Third Proportional to 212,792 and 463,382

Step by Step Solution

1. Step 1: Write the proportion equation
   212,792 : 463,382 = 463,382 : x
2. Step 2: Convert to fraction form
   212,792/463,382 = 463,382/x
3. Step 3: Cross multiply
   212,792x = 463,382 × 463,382
4. Step 4: Simplify right side
   212,792x = 214,722,877,924
5. Step 5: Solve for x
   x = 214,722,877,924/212,792
6. Step 6: Final answer
   x = 1,009,074.02