Finding the Third Proportional to 334,856 and 469,428

Step by Step Solution

1. Step 1: Write the proportion equation
   334,856 : 469,428 = 469,428 : x
2. Step 2: Convert to fraction form
   334,856/469,428 = 469,428/x
3. Step 3: Cross multiply
   334,856x = 469,428 × 469,428
4. Step 4: Simplify right side
   334,856x = 220,362,647,184
5. Step 5: Solve for x
   x = 220,362,647,184/334,856
6. Step 6: Final answer
   x = 658,081.82