Finding the Third Proportional to 175,168 and 377,984

Step by Step Solution

1. Step 1: Write the proportion equation
   175,168 : 377,984 = 377,984 : x
2. Step 2: Convert to fraction form
   175,168/377,984 = 377,984/x
3. Step 3: Cross multiply
   175,168x = 377,984 × 377,984
4. Step 4: Simplify right side
   175,168x = 142,871,904,256
5. Step 5: Solve for x
   x = 142,871,904,256/175,168
6. Step 6: Final answer
   x = 815,627.88