Finding the Third Proportional to 213,493 and 327,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,493 : 327,475.50 = 327,475.50 : x
2. Step 2: Convert to fraction form
   213,493/327,475.50 = 327,475.50/x
3. Step 3: Cross multiply
   213,493x = 327,475.50 × 327,475.50
4. Step 4: Simplify right side
   213,493x = 107,240,203,100.25
5. Step 5: Solve for x
   x = 107,240,203,100.25/213,493
6. Step 6: Final answer
   x = 502,312.50