Finding the Third Proportional to 78,783 and 172,873.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,783 : 172,873.50 = 172,873.50 : x
2. Step 2: Convert to fraction form
   78,783/172,873.50 = 172,873.50/x
3. Step 3: Cross multiply
   78,783x = 172,873.50 × 172,873.50
4. Step 4: Simplify right side
   78,783x = 29,885,247,002.25
5. Step 5: Solve for x
   x = 29,885,247,002.25/78,783
6. Step 6: Final answer
   x = 379,336.24