Finding the Third Proportional to 263,971 and 358,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,971 : 358,636.50 = 358,636.50 : x
2. Step 2: Convert to fraction form
   263,971/358,636.50 = 358,636.50/x
3. Step 3: Cross multiply
   263,971x = 358,636.50 × 358,636.50
4. Step 4: Simplify right side
   263,971x = 128,620,139,132.25
5. Step 5: Solve for x
   x = 128,620,139,132.25/263,971
6. Step 6: Final answer
   x = 487,251.02