Finding the Third Proportional to 213,460 and 498,658

Step by Step Solution

1. Step 1: Write the proportion equation
   213,460 : 498,658 = 498,658 : x
2. Step 2: Convert to fraction form
   213,460/498,658 = 498,658/x
3. Step 3: Cross multiply
   213,460x = 498,658 × 498,658
4. Step 4: Simplify right side
   213,460x = 248,659,800,964
5. Step 5: Solve for x
   x = 248,659,800,964/213,460
6. Step 6: Final answer
   x = 1,164,901.16