Finding the Third Proportional to 222,825 and 460,410

Step by Step Solution

1. Step 1: Write the proportion equation
   222,825 : 460,410 = 460,410 : x
2. Step 2: Convert to fraction form
   222,825/460,410 = 460,410/x
3. Step 3: Cross multiply
   222,825x = 460,410 × 460,410
4. Step 4: Simplify right side
   222,825x = 211,977,368,100
5. Step 5: Solve for x
   x = 211,977,368,100/222,825
6. Step 6: Final answer
   x = 951,317.71