Finding the Third Proportional to 172,867.50 and 377,253

Step by Step Solution

1. Step 1: Write the proportion equation
   172,867.50 : 377,253 = 377,253 : x
2. Step 2: Convert to fraction form
   172,867.50/377,253 = 377,253/x
3. Step 3: Cross multiply
   172,867.50x = 377,253 × 377,253
4. Step 4: Simplify right side
   172,867.50x = 142,319,826,009
5. Step 5: Solve for x
   x = 142,319,826,009/172,867.50
6. Step 6: Final answer
   x = 823,288.51