Finding the Third Proportional to 78,825.38 and 172,980.56

Step by Step Solution

1. Step 1: Write the proportion equation
   78,825.38 : 172,980.56 = 172,980.56 : x
2. Step 2: Convert to fraction form
   78,825.38/172,980.56 = 172,980.56/x
3. Step 3: Cross multiply
   78,825.38x = 172,980.56 × 172,980.56
4. Step 4: Simplify right side
   78,825.38x = 29,922,275,002.82
5. Step 5: Solve for x
   x = 29,922,275,002.82/78,825.38
6. Step 6: Final answer
   x = 379,602.06