Finding the Third Proportional to 78,769.50 and 172,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,769.50 : 172,849.50 = 172,849.50 : x
2. Step 2: Convert to fraction form
   78,769.50/172,849.50 = 172,849.50/x
3. Step 3: Cross multiply
   78,769.50x = 172,849.50 × 172,849.50
4. Step 4: Simplify right side
   78,769.50x = 29,876,949,650.25
5. Step 5: Solve for x
   x = 29,876,949,650.25/78,769.50
6. Step 6: Final answer
   x = 379,295.92