Finding the Third Proportional to 178,389 and 374,293.69

Step by Step Solution

1. Step 1: Write the proportion equation
   178,389 : 374,293.69 = 374,293.69 : x
2. Step 2: Convert to fraction form
   178,389/374,293.69 = 374,293.69/x
3. Step 3: Cross multiply
   178,389x = 374,293.69 × 374,293.69
4. Step 4: Simplify right side
   178,389x = 140,095,764,502.35
5. Step 5: Solve for x
   x = 140,095,764,502.35/178,389
6. Step 6: Final answer
   x = 785,338.58