Finding the Third Proportional to 213,727.50 and 456,059.25

Step by Step Solution

1. Step 1: Write the proportion equation
   213,727.50 : 456,059.25 = 456,059.25 : x
2. Step 2: Convert to fraction form
   213,727.50/456,059.25 = 456,059.25/x
3. Step 3: Cross multiply
   213,727.50x = 456,059.25 × 456,059.25
4. Step 4: Simplify right side
   213,727.50x = 207,990,039,510.56
5. Step 5: Solve for x
   x = 207,990,039,510.56/213,727.50
6. Step 6: Final answer
   x = 973,155.25