Finding the Third Proportional to 91,535 and 213,852

Step by Step Solution

1. Step 1: Write the proportion equation
   91,535 : 213,852 = 213,852 : x
2. Step 2: Convert to fraction form
   91,535/213,852 = 213,852/x
3. Step 3: Cross multiply
   91,535x = 213,852 × 213,852
4. Step 4: Simplify right side
   91,535x = 45,732,677,904
5. Step 5: Solve for x
   x = 45,732,677,904/91,535
6. Step 6: Final answer
   x = 499,619.58