Finding the Third Proportional to 145,413 and 213,325.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,413 : 213,325.50 = 213,325.50 : x
2. Step 2: Convert to fraction form
   145,413/213,325.50 = 213,325.50/x
3. Step 3: Cross multiply
   145,413x = 213,325.50 × 213,325.50
4. Step 4: Simplify right side
   145,413x = 45,507,768,950.25
5. Step 5: Solve for x
   x = 45,507,768,950.25/145,413
6. Step 6: Final answer
   x = 312,955.30