Finding the Third Proportional to 381,405 and 517,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,405 : 517,405.50 = 517,405.50 : x
2. Step 2: Convert to fraction form
   381,405/517,405.50 = 517,405.50/x
3. Step 3: Cross multiply
   381,405x = 517,405.50 × 517,405.50
4. Step 4: Simplify right side
   381,405x = 267,708,451,430.25
5. Step 5: Solve for x
   x = 267,708,451,430.25/381,405
6. Step 6: Final answer
   x = 701,900.74