Finding the Third Proportional to 302,559 and 401,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,559 : 401,347.50 = 401,347.50 : x
2. Step 2: Convert to fraction form
   302,559/401,347.50 = 401,347.50/x
3. Step 3: Cross multiply
   302,559x = 401,347.50 × 401,347.50
4. Step 4: Simplify right side
   302,559x = 161,079,815,756.25
5. Step 5: Solve for x
   x = 161,079,815,756.25/302,559
6. Step 6: Final answer
   x = 532,391.42