Finding the Third Proportional to 213,036 and 468,111

Step by Step Solution

1. Step 1: Write the proportion equation
   213,036 : 468,111 = 468,111 : x
2. Step 2: Convert to fraction form
   213,036/468,111 = 468,111/x
3. Step 3: Cross multiply
   213,036x = 468,111 × 468,111
4. Step 4: Simplify right side
   213,036x = 219,127,908,321
5. Step 5: Solve for x
   x = 219,127,908,321/213,036
6. Step 6: Final answer
   x = 1,028,595.68