Finding the Third Proportional to 178,314 and 388,614

Step by Step Solution

1. Step 1: Write the proportion equation
   178,314 : 388,614 = 388,614 : x
2. Step 2: Convert to fraction form
   178,314/388,614 = 388,614/x
3. Step 3: Cross multiply
   178,314x = 388,614 × 388,614
4. Step 4: Simplify right side
   178,314x = 151,020,840,996
5. Step 5: Solve for x
   x = 151,020,840,996/178,314
6. Step 6: Final answer
   x = 846,937.65