Finding the Third Proportional to 78,755.75 and 172,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,755.75 : 172,823.50 = 172,823.50 : x
2. Step 2: Convert to fraction form
   78,755.75/172,823.50 = 172,823.50/x
3. Step 3: Cross multiply
   78,755.75x = 172,823.50 × 172,823.50
4. Step 4: Simplify right side
   78,755.75x = 29,867,962,152.25
5. Step 5: Solve for x
   x = 29,867,962,152.25/78,755.75
6. Step 6: Final answer
   x = 379,248.02