Finding the Third Proportional to 172,068 and 378,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,068 : 378,175.50 = 378,175.50 : x
2. Step 2: Convert to fraction form
   172,068/378,175.50 = 378,175.50/x
3. Step 3: Cross multiply
   172,068x = 378,175.50 × 378,175.50
4. Step 4: Simplify right side
   172,068x = 143,016,708,800.25
5. Step 5: Solve for x
   x = 143,016,708,800.25/172,068
6. Step 6: Final answer
   x = 831,163.89