Finding the Third Proportional to 172,803 and 282,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,803 : 282,172.50 = 282,172.50 : x
2. Step 2: Convert to fraction form
   172,803/282,172.50 = 282,172.50/x
3. Step 3: Cross multiply
   172,803x = 282,172.50 × 282,172.50
4. Step 4: Simplify right side
   172,803x = 79,621,319,756.25
5. Step 5: Solve for x
   x = 79,621,319,756.25/172,803
6. Step 6: Final answer
   x = 460,763.53