Finding the Third Proportional to 302,541 and 401,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,541 : 401,323.50 = 401,323.50 : x
2. Step 2: Convert to fraction form
   302,541/401,323.50 = 401,323.50/x
3. Step 3: Cross multiply
   302,541x = 401,323.50 × 401,323.50
4. Step 4: Simplify right side
   302,541x = 161,060,551,652.25
5. Step 5: Solve for x
   x = 161,060,551,652.25/302,541
6. Step 6: Final answer
   x = 532,359.42