Finding the Third Proportional to 78,228 and 172,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,228 : 172,003.50 = 172,003.50 : x
2. Step 2: Convert to fraction form
   78,228/172,003.50 = 172,003.50/x
3. Step 3: Cross multiply
   78,228x = 172,003.50 × 172,003.50
4. Step 4: Simplify right side
   78,228x = 29,585,204,012.25
5. Step 5: Solve for x
   x = 29,585,204,012.25/78,228
6. Step 6: Final answer
   x = 378,192.00