Finding the Third Proportional to 1,970,946 and 2,178,306

Step by Step Solution

1. Step 1: Write the proportion equation
   1,970,946 : 2,178,306 = 2,178,306 : x
2. Step 2: Convert to fraction form
   1,970,946/2,178,306 = 2,178,306/x
3. Step 3: Cross multiply
   1,970,946x = 2,178,306 × 2,178,306
4. Step 4: Simplify right side
   1,970,946x = 4,745,017,029,636
5. Step 5: Solve for x
   x = 4,745,017,029,636/1,970,946
6. Step 6: Final answer
   x = 2,407,482.01