Finding the Third Proportional to 145,431 and 213,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,431 : 213,358.50 = 213,358.50 : x
2. Step 2: Convert to fraction form
   145,431/213,358.50 = 213,358.50/x
3. Step 3: Cross multiply
   145,431x = 213,358.50 × 213,358.50
4. Step 4: Simplify right side
   145,431x = 45,521,849,522.25
5. Step 5: Solve for x
   x = 45,521,849,522.25/145,431
6. Step 6: Final answer
   x = 313,013.38