Finding the Third Proportional to 456,784 and 983,408

Step by Step Solution

1. Step 1: Write the proportion equation
   456,784 : 983,408 = 983,408 : x
2. Step 2: Convert to fraction form
   456,784/983,408 = 983,408/x
3. Step 3: Cross multiply
   456,784x = 983,408 × 983,408
4. Step 4: Simplify right side
   456,784x = 967,091,294,464
5. Step 5: Solve for x
   x = 967,091,294,464/456,784
6. Step 6: Final answer
   x = 2,117,174.19