Finding the Third Proportional to 213,892 and 464,733

Step by Step Solution

1. Step 1: Write the proportion equation
   213,892 : 464,733 = 464,733 : x
2. Step 2: Convert to fraction form
   213,892/464,733 = 464,733/x
3. Step 3: Cross multiply
   213,892x = 464,733 × 464,733
4. Step 4: Simplify right side
   213,892x = 215,976,761,289
5. Step 5: Solve for x
   x = 215,976,761,289/213,892
6. Step 6: Final answer
   x = 1,009,746.79