Finding the Third Proportional to 302,565 and 401,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,565 : 401,356.50 = 401,356.50 : x
2. Step 2: Convert to fraction form
   302,565/401,356.50 = 401,356.50/x
3. Step 3: Cross multiply
   302,565x = 401,356.50 × 401,356.50
4. Step 4: Simplify right side
   302,565x = 161,087,040,092.25
5. Step 5: Solve for x
   x = 161,087,040,092.25/302,565
6. Step 6: Final answer
   x = 532,404.74