Finding the Third Proportional to 172,800 and 378,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,800 : 378,814.50 = 378,814.50 : x
2. Step 2: Convert to fraction form
   172,800/378,814.50 = 378,814.50/x
3. Step 3: Cross multiply
   172,800x = 378,814.50 × 378,814.50
4. Step 4: Simplify right side
   172,800x = 143,500,425,410.25
5. Step 5: Solve for x
   x = 143,500,425,410.25/172,800
6. Step 6: Final answer
   x = 830,442.28