Finding the Third Proportional to 302,569 and 401,362

Step by Step Solution

1. Step 1: Write the proportion equation
   302,569 : 401,362 = 401,362 : x
2. Step 2: Convert to fraction form
   302,569/401,362 = 401,362/x
3. Step 3: Cross multiply
   302,569x = 401,362 × 401,362
4. Step 4: Simplify right side
   302,569x = 161,091,455,044
5. Step 5: Solve for x
   x = 161,091,455,044/302,569
6. Step 6: Final answer
   x = 532,412.29