Finding the Third Proportional to 295,488 and 401,760

Step by Step Solution

1. Step 1: Write the proportion equation
   295,488 : 401,760 = 401,760 : x
2. Step 2: Convert to fraction form
   295,488/401,760 = 401,760/x
3. Step 3: Cross multiply
   295,488x = 401,760 × 401,760
4. Step 4: Simplify right side
   295,488x = 161,411,097,600
5. Step 5: Solve for x
   x = 161,411,097,600/295,488
6. Step 6: Final answer
   x = 546,252.63