Finding the Third Proportional to 147,680 and 320,064

Step by Step Solution

1. Step 1: Write the proportion equation
   147,680 : 320,064 = 320,064 : x
2. Step 2: Convert to fraction form
   147,680/320,064 = 320,064/x
3. Step 3: Cross multiply
   147,680x = 320,064 × 320,064
4. Step 4: Simplify right side
   147,680x = 102,440,964,096
5. Step 5: Solve for x
   x = 102,440,964,096/147,680
6. Step 6: Final answer
   x = 693,668.50