Finding the Third Proportional to 71,640 and 144,680

Step by Step Solution

1. Step 1: Write the proportion equation
   71,640 : 144,680 = 144,680 : x
2. Step 2: Convert to fraction form
   71,640/144,680 = 144,680/x
3. Step 3: Cross multiply
   71,640x = 144,680 × 144,680
4. Step 4: Simplify right side
   71,640x = 20,932,302,400
5. Step 5: Solve for x
   x = 20,932,302,400/71,640
6. Step 6: Final answer
   x = 292,187.36