Finding the Third Proportional to 172,887 and 256,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,887 : 256,825.50 = 256,825.50 : x
2. Step 2: Convert to fraction form
   172,887/256,825.50 = 256,825.50/x
3. Step 3: Cross multiply
   172,887x = 256,825.50 × 256,825.50
4. Step 4: Simplify right side
   172,887x = 65,959,337,450.25
5. Step 5: Solve for x
   x = 65,959,337,450.25/172,887
6. Step 6: Final answer
   x = 381,517.05