Finding the Third Proportional to 273,002 and 413,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   273,002 : 413,321.50 = 413,321.50 : x
2. Step 2: Convert to fraction form
   273,002/413,321.50 = 413,321.50/x
3. Step 3: Cross multiply
   273,002x = 413,321.50 × 413,321.50
4. Step 4: Simplify right side
   273,002x = 170,834,662,362.25
5. Step 5: Solve for x
   x = 170,834,662,362.25/273,002
6. Step 6: Final answer
   x = 625,763.41