Finding the Third Proportional to 253,368 and 401,184

Step by Step Solution

1. Step 1: Write the proportion equation
   253,368 : 401,184 = 401,184 : x
2. Step 2: Convert to fraction form
   253,368/401,184 = 401,184/x
3. Step 3: Cross multiply
   253,368x = 401,184 × 401,184
4. Step 4: Simplify right side
   253,368x = 160,948,601,856
5. Step 5: Solve for x
   x = 160,948,601,856/253,368
6. Step 6: Final answer
   x = 635,236.50