Finding the Third Proportional to 145,441 and 213,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,441 : 213,373.50 = 213,373.50 : x
2. Step 2: Convert to fraction form
   145,441/213,373.50 = 213,373.50/x
3. Step 3: Cross multiply
   145,441x = 213,373.50 × 213,373.50
4. Step 4: Simplify right side
   145,441x = 45,528,250,502.25
5. Step 5: Solve for x
   x = 45,528,250,502.25/145,441
6. Step 6: Final answer
   x = 313,035.87