Finding the Third Proportional to 302,583 and 401,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,583 : 401,380.50 = 401,380.50 : x
2. Step 2: Convert to fraction form
   302,583/401,380.50 = 401,380.50/x
3. Step 3: Cross multiply
   302,583x = 401,380.50 × 401,380.50
4. Step 4: Simplify right side
   302,583x = 161,106,305,780.25
5. Step 5: Solve for x
   x = 161,106,305,780.25/302,583
6. Step 6: Final answer
   x = 532,436.74