Finding the Third Proportional to 456,615 and 727,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456,615 : 727,204.50 = 727,204.50 : x
2. Step 2: Convert to fraction form
   456,615/727,204.50 = 727,204.50/x
3. Step 3: Cross multiply
   456,615x = 727,204.50 × 727,204.50
4. Step 4: Simplify right side
   456,615x = 528,826,384,820.25
5. Step 5: Solve for x
   x = 528,826,384,820.25/456,615
6. Step 6: Final answer
   x = 1,158,145.01