Finding the Third Proportional to 78,823 and 172,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,823 : 172,975.50 = 172,975.50 : x
2. Step 2: Convert to fraction form
   78,823/172,975.50 = 172,975.50/x
3. Step 3: Cross multiply
   78,823x = 172,975.50 × 172,975.50
4. Step 4: Simplify right side
   78,823x = 29,920,523,600.25
5. Step 5: Solve for x
   x = 29,920,523,600.25/78,823
6. Step 6: Final answer
   x = 379,591.28