Finding the Third Proportional to 178,323 and 388,632

Step by Step Solution

1. Step 1: Write the proportion equation
   178,323 : 388,632 = 388,632 : x
2. Step 2: Convert to fraction form
   178,323/388,632 = 388,632/x
3. Step 3: Cross multiply
   178,323x = 388,632 × 388,632
4. Step 4: Simplify right side
   178,323x = 151,034,831,424
5. Step 5: Solve for x
   x = 151,034,831,424/178,323
6. Step 6: Final answer
   x = 846,973.37