Finding the Third Proportional to 301,175 and 401,513

Step by Step Solution

1. Step 1: Write the proportion equation
   301,175 : 401,513 = 401,513 : x
2. Step 2: Convert to fraction form
   301,175/401,513 = 401,513/x
3. Step 3: Cross multiply
   301,175x = 401,513 × 401,513
4. Step 4: Simplify right side
   301,175x = 161,212,689,169
5. Step 5: Solve for x
   x = 161,212,689,169/301,175
6. Step 6: Final answer
   x = 535,279.12