Finding the Third Proportional to 80,688 and 174,984

Step by Step Solution

1. Step 1: Write the proportion equation
   80,688 : 174,984 = 174,984 : x
2. Step 2: Convert to fraction form
   80,688/174,984 = 174,984/x
3. Step 3: Cross multiply
   80,688x = 174,984 × 174,984
4. Step 4: Simplify right side
   80,688x = 30,619,400,256
5. Step 5: Solve for x
   x = 30,619,400,256/80,688
6. Step 6: Final answer
   x = 379,478.98