Finding the Third Proportional to 101,929.50 and 213,147

Step by Step Solution

1. Step 1: Write the proportion equation
   101,929.50 : 213,147 = 213,147 : x
2. Step 2: Convert to fraction form
   101,929.50/213,147 = 213,147/x
3. Step 3: Cross multiply
   101,929.50x = 213,147 × 213,147
4. Step 4: Simplify right side
   101,929.50x = 45,431,643,609
5. Step 5: Solve for x
   x = 45,431,643,609/101,929.50
6. Step 6: Final answer
   x = 445,716.34