Finding the Third Proportional to 321,435 and 516,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,435 : 516,172.50 = 516,172.50 : x
2. Step 2: Convert to fraction form
   321,435/516,172.50 = 516,172.50/x
3. Step 3: Cross multiply
   321,435x = 516,172.50 × 516,172.50
4. Step 4: Simplify right side
   321,435x = 266,434,049,756.25
5. Step 5: Solve for x
   x = 266,434,049,756.25/321,435
6. Step 6: Final answer
   x = 828,889.35