Finding the Third Proportional to 78,877.50 and 172,311

Step by Step Solution

1. Step 1: Write the proportion equation
   78,877.50 : 172,311 = 172,311 : x
2. Step 2: Convert to fraction form
   78,877.50/172,311 = 172,311/x
3. Step 3: Cross multiply
   78,877.50x = 172,311 × 172,311
4. Step 4: Simplify right side
   78,877.50x = 29,691,080,721
5. Step 5: Solve for x
   x = 29,691,080,721/78,877.50
6. Step 6: Final answer
   x = 376,420.15