Finding the Third Proportional to 78,955.50 and 172,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,955.50 : 172,672.50 = 172,672.50 : x
2. Step 2: Convert to fraction form
   78,955.50/172,672.50 = 172,672.50/x
3. Step 3: Cross multiply
   78,955.50x = 172,672.50 × 172,672.50
4. Step 4: Simplify right side
   78,955.50x = 29,815,792,256.25
5. Step 5: Solve for x
   x = 29,815,792,256.25/78,955.50
6. Step 6: Final answer
   x = 377,627.81