Finding the Third Proportional to 78,772.50 and 172,851.38

Step by Step Solution

1. Step 1: Write the proportion equation
   78,772.50 : 172,851.38 = 172,851.38 : x
2. Step 2: Convert to fraction form
   78,772.50/172,851.38 = 172,851.38/x
3. Step 3: Cross multiply
   78,772.50x = 172,851.38 × 172,851.38
4. Step 4: Simplify right side
   78,772.50x = 29,877,597,839.39
5. Step 5: Solve for x
   x = 29,877,597,839.39/78,772.50
6. Step 6: Final answer
   x = 379,289.70