Finding the Third Proportional to 262,171.50 and 400,898.25

Step by Step Solution

1. Step 1: Write the proportion equation
   262,171.50 : 400,898.25 = 400,898.25 : x
2. Step 2: Convert to fraction form
   262,171.50/400,898.25 = 400,898.25/x
3. Step 3: Cross multiply
   262,171.50x = 400,898.25 × 400,898.25
4. Step 4: Simplify right side
   262,171.50x = 160,719,406,853.06
5. Step 5: Solve for x
   x = 160,719,406,853.06/262,171.50
6. Step 6: Final answer
   x = 613,031.57