Finding the Third Proportional to 213,665 and 309,473.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,665 : 309,473.50 = 309,473.50 : x
2. Step 2: Convert to fraction form
   213,665/309,473.50 = 309,473.50/x
3. Step 3: Cross multiply
   213,665x = 309,473.50 × 309,473.50
4. Step 4: Simplify right side
   213,665x = 95,773,847,202.25
5. Step 5: Solve for x
   x = 95,773,847,202.25/213,665
6. Step 6: Final answer
   x = 448,243.03