Finding the Third Proportional to 78,826 and 172,981.75

Step by Step Solution

1. Step 1: Write the proportion equation
   78,826 : 172,981.75 = 172,981.75 : x
2. Step 2: Convert to fraction form
   78,826/172,981.75 = 172,981.75/x
3. Step 3: Cross multiply
   78,826x = 172,981.75 × 172,981.75
4. Step 4: Simplify right side
   78,826x = 29,922,685,833.06
5. Step 5: Solve for x
   x = 29,922,685,833.06/78,826
6. Step 6: Final answer
   x = 379,604.27