Finding the Third Proportional to 78,825 and 172,979.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,825 : 172,979.25 = 172,979.25 : x
2. Step 2: Convert to fraction form
   78,825/172,979.25 = 172,979.25/x
3. Step 3: Cross multiply
   78,825x = 172,979.25 × 172,979.25
4. Step 4: Simplify right side
   78,825x = 29,921,820,930.56
5. Step 5: Solve for x
   x = 29,921,820,930.56/78,825
6. Step 6: Final answer
   x = 379,598.11