Finding the Third Proportional to 78,825.50 and 172,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,825.50 : 172,980.50 = 172,980.50 : x
2. Step 2: Convert to fraction form
   78,825.50/172,980.50 = 172,980.50/x
3. Step 3: Cross multiply
   78,825.50x = 172,980.50 × 172,980.50
4. Step 4: Simplify right side
   78,825.50x = 29,922,253,380.25
5. Step 5: Solve for x
   x = 29,922,253,380.25/78,825.50
6. Step 6: Final answer
   x = 379,601.19