Finding the Third Proportional to 416,142 and 897,840

Step by Step Solution

1. Step 1: Write the proportion equation
   416,142 : 897,840 = 897,840 : x
2. Step 2: Convert to fraction form
   416,142/897,840 = 897,840/x
3. Step 3: Cross multiply
   416,142x = 897,840 × 897,840
4. Step 4: Simplify right side
   416,142x = 806,116,665,600
5. Step 5: Solve for x
   x = 806,116,665,600/416,142
6. Step 6: Final answer
   x = 1,937,119.22