Finding the Third Proportional to 172,462 and 257,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,462 : 257,630.50 = 257,630.50 : x
2. Step 2: Convert to fraction form
   172,462/257,630.50 = 257,630.50/x
3. Step 3: Cross multiply
   172,462x = 257,630.50 × 257,630.50
4. Step 4: Simplify right side
   172,462x = 66,373,474,530.25
5. Step 5: Solve for x
   x = 66,373,474,530.25/172,462
6. Step 6: Final answer
   x = 384,858.55