Finding the Third Proportional to 302,568 and 401,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,568 : 401,362.50 = 401,362.50 : x
2. Step 2: Convert to fraction form
   302,568/401,362.50 = 401,362.50/x
3. Step 3: Cross multiply
   302,568x = 401,362.50 × 401,362.50
4. Step 4: Simplify right side
   302,568x = 161,091,856,406.25
5. Step 5: Solve for x
   x = 161,091,856,406.25/302,568
6. Step 6: Final answer
   x = 532,415.38