Finding the Third Proportional to 286,723 and 401,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   286,723 : 401,022.50 = 401,022.50 : x
2. Step 2: Convert to fraction form
   286,723/401,022.50 = 401,022.50/x
3. Step 3: Cross multiply
   286,723x = 401,022.50 × 401,022.50
4. Step 4: Simplify right side
   286,723x = 160,819,045,506.25
5. Step 5: Solve for x
   x = 160,819,045,506.25/286,723
6. Step 6: Final answer
   x = 560,886.45