Finding the Third Proportional to 178,105.50 and 374,655

Step by Step Solution

1. Step 1: Write the proportion equation
   178,105.50 : 374,655 = 374,655 : x
2. Step 2: Convert to fraction form
   178,105.50/374,655 = 374,655/x
3. Step 3: Cross multiply
   178,105.50x = 374,655 × 374,655
4. Step 4: Simplify right side
   178,105.50x = 140,366,369,025
5. Step 5: Solve for x
   x = 140,366,369,025/178,105.50
6. Step 6: Final answer
   x = 788,108.00