Finding the Third Proportional to 149,535 and 213,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,535 : 213,286.50 = 213,286.50 : x
2. Step 2: Convert to fraction form
   149,535/213,286.50 = 213,286.50/x
3. Step 3: Cross multiply
   149,535x = 213,286.50 × 213,286.50
4. Step 4: Simplify right side
   149,535x = 45,491,131,082.25
5. Step 5: Solve for x
   x = 45,491,131,082.25/149,535
6. Step 6: Final answer
   x = 304,217.28