Finding the Third Proportional to 91,528 and 213,826

Step by Step Solution

1. Step 1: Write the proportion equation
   91,528 : 213,826 = 213,826 : x
2. Step 2: Convert to fraction form
   91,528/213,826 = 213,826/x
3. Step 3: Cross multiply
   91,528x = 213,826 × 213,826
4. Step 4: Simplify right side
   91,528x = 45,721,558,276
5. Step 5: Solve for x
   x = 45,721,558,276/91,528
6. Step 6: Final answer
   x = 499,536.30