Finding the Third Proportional to 172,848 and 259,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,848 : 259,276.50 = 259,276.50 : x
2. Step 2: Convert to fraction form
   172,848/259,276.50 = 259,276.50/x
3. Step 3: Cross multiply
   172,848x = 259,276.50 × 259,276.50
4. Step 4: Simplify right side
   172,848x = 67,224,303,452.25
5. Step 5: Solve for x
   x = 67,224,303,452.25/172,848
6. Step 6: Final answer
   x = 388,921.50