Finding the Third Proportional to 145,400.50 and 213,308.25

Step by Step Solution

1. Step 1: Write the proportion equation
   145,400.50 : 213,308.25 = 213,308.25 : x
2. Step 2: Convert to fraction form
   145,400.50/213,308.25 = 213,308.25/x
3. Step 3: Cross multiply
   145,400.50x = 213,308.25 × 213,308.25
4. Step 4: Simplify right side
   145,400.50x = 45,500,409,518.06
5. Step 5: Solve for x
   x = 45,500,409,518.06/145,400.50
6. Step 6: Final answer
   x = 312,931.59