Finding the Third Proportional to 301,168 and 401,506

Step by Step Solution

1. Step 1: Write the proportion equation
   301,168 : 401,506 = 401,506 : x
2. Step 2: Convert to fraction form
   301,168/401,506 = 401,506/x
3. Step 3: Cross multiply
   301,168x = 401,506 × 401,506
4. Step 4: Simplify right side
   301,168x = 161,207,068,036
5. Step 5: Solve for x
   x = 161,207,068,036/301,168
6. Step 6: Final answer
   x = 535,272.90